Vektoreiden yhdensuuntaisuus kolmiulotteisessa avaruudessa











>> YOUR LINK HERE: ___ http://youtube.com/watch?v=wdxR7N_vWMQ

Määritetään muuttuja vektorin komponenttiesityksessä siten, että vektorit ovat yhdensuuntaiset.","styleRuns":[{"startIndex":0,"length":95,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":95,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CL4BELsvGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC3dkeFI3Tl92V01RGAYyJSIRIgt3ZHhSN05fdldNUTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CL4BELsvGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CL0BELovIhMIufiPwM_riwMVytFCBR2BrxTL"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"aYC5VRltUv8","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/aYC5VRltUv8/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLBei-wF0F56TVHqAfzZCcTpfez5tQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/aYC5VRltUv8/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDK8sjlcTXnQgMt0-wID-AecaLP6w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Vektori kolmiulotteisessa avaruudessa by Matematiikan Messi 115 views 4 years ago 17 minutes"}},"simpleText":"Vektori kolmiulotteisessa avaruudessa"},"longBylineText":{"runs":[{"text":"Matematiikan Messi","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematiikanmessi","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE7-3kIjd75bgv1LfjYWo7w","canonicalBaseUrl":"/@matematiikanmessi"}}}]},"publishedTimeText":{"simpleText":"4 years ago"},"viewCountText":{"simpleText":"115 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"17 minutes, 24 seconds"}},"simpleText":"17:24"},"navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWRIxLG9_829lO7BAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=aYC5VRltUv8","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"aYC5VRltUv8","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr4---sn-nvm-cxbz.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=6980b955196d52ff ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=785000 mt=1740925752 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mg rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Matematiikan Messi","navigationEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematiikanmessi","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE7-3kIjd75bgv1LfjYWo7w","canonicalBaseUrl":"/@matematiikanmessi"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_morq6NunMWa79oR46ct_7HF7DWPWbwxUYfbgbgOtdwjg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMtA_6W1y9GqrsBp","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"115 views"}},"simpleText":"115 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLsBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLsBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"aYC5VRltUv8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLsBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["aYC5VRltUv8"],"params":"CAQ%3D"}},"videoIds":["aYC5VRltUv8"]}},{"clickTrackingParams":"CLsBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLwBELlqIhMIufiPwM_riwMVytFCBR2BrxTL"}},"popupType":"TOAST"}}]}},"trackingParams":"CLsBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLoBENGqBRgHIhMIufiPwM_riwMVytFCBR2BrxTL","offlineVideoEndpoint":{"videoId":"aYC5VRltUv8","onAddCommand":{"clickTrackingParams":"CLoBENGqBRgHIhMIufiPwM_riwMVytFCBR2BrxTL","getDownloadActionCommand":{"videoId":"aYC5VRltUv8","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLoBENGqBRgHIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgthWUM1VlJsdFV2OA%3D%3D","commands":[{"clickTrackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLkBEI5iIhMIufiPwM_riwMVytFCBR2BrxTL","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","hasSeparator":true}}],"trackingParams":"CLYBEKQwGAAiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","accessibility":{"accessibilityData":{"label":"Action menu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"17 minutes, 24 seconds"}},"simpleText":"17:24"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"aYC5VRltUv8","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLgBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"aYC5VRltUv8"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLgBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLcBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"aYC5VRltUv8","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLcBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["aYC5VRltUv8"],"params":"CAQ%3D"}},"videoIds":["aYC5VRltUv8"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLcBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Vektori kolmiulotteisessa avaruudessa - 17 minutes - Go to channel - Matematiikan Messi - 115 views - 4 years ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/aYC5VRltUv8/mqdefault_6s.webp?du=3000 sqp=CPizkb4G rs=AOn4CLDknVtFX9O76h24TFp8Yt_Vnlec0w","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"7Sb-9A5HSUQ","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/7Sb-9A5HSUQ/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CIAC0AWKAgwIABABGGUgZShlMA8= rs=AOn4CLDXSS0TekyRa4vCBY4HCkPg95rlfQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/7Sb-9A5HSUQ/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_giAAtAFigIMCAAQARhlIGUoZTAP rs=AOn4CLDws_rFle-i-LwLrFGdMH3sUPjO9w","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Klassinen varjon lankeamistehtävä geometriaan by Matematiikan Messi 29 views 9 days ago 20 minutes"}},"simpleText":"Klassinen varjon lankeamistehtävä geometriaan"},"longBylineText":{"runs":[{"text":"Matematiikan Messi","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematiikanmessi","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE7-3kIjd75bgv1LfjYWo7w","canonicalBaseUrl":"/@matematiikanmessi"}}}]},"publishedTimeText":{"simpleText":"9 days ago"},"viewCountText":{"simpleText":"29 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"20 minutes, 13 seconds"}},"simpleText":"20:13"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWRIxLG9_829lO7BAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=7Sb-9A5HSUQ","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"7Sb-9A5HSUQ","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr3---sn-uxaxiv0nxx5q-nv4l.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=ed26fef40e474944 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=1266250 mt=1740925752 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mg rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Matematiikan Messi","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematiikanmessi","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE7-3kIjd75bgv1LfjYWo7w","canonicalBaseUrl":"/@matematiikanmessi"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_morq6NunMWa79oR46ct_7HF7DWPWbwxUYfbgbgOtdwjg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMtAxJKd8sDev5PtAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"29 views"}},"simpleText":"29 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLQBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLQBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"7Sb-9A5HSUQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLQBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["7Sb-9A5HSUQ"],"params":"CAQ%3D"}},"videoIds":["7Sb-9A5HSUQ"]}},{"clickTrackingParams":"CLQBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CLUBELlqIhMIufiPwM_riwMVytFCBR2BrxTL"}},"popupType":"TOAST"}}]}},"trackingParams":"CLQBEP6YBBgGIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CLMBENGqBRgHIhMIufiPwM_riwMVytFCBR2BrxTL","offlineVideoEndpoint":{"videoId":"7Sb-9A5HSUQ","onAddCommand":{"clickTrackingParams":"CLMBENGqBRgHIhMIufiPwM_riwMVytFCBR2BrxTL","getDownloadActionCommand":{"videoId":"7Sb-9A5HSUQ","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CLMBENGqBRgHIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"Cgs3U2ItOUE1SFNVUQ%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIufiPwM_riwMVytFCBR2BrxTL","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAEiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"20 minutes, 13 seconds"}},"simpleText":"20:13"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"7Sb-9A5HSUQ","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"7Sb-9A5HSUQ"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLEBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"7Sb-9A5HSUQ","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["7Sb-9A5HSUQ"],"params":"CAQ%3D"}},"videoIds":["7Sb-9A5HSUQ"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CLABEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Klassinen varjon lankeamistehtävä geometriaan - 20 minutes - Go to channel - Matematiikan Messi - 29 views - 9 days ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/7Sb-9A5HSUQ/mqdefault_6s.webp?du=3000 sqp=CIi3kb4G rs=AOn4CLCMIS8JuR5BLTaKtHVSVoGTuvFv7w","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"PJc81IyTQdc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/PJc81IyTQdc/hqdefault.jpg?sqp=-oaymwE1CKgBEF5IVfKriqkDKAgBFQAAiEIYAXABwAEG8AEB-AH-CIAC0AWKAgwIABABGBMgMCh_MA8= rs=AOn4CLB5aVufmJ1PdfIz3ReszNoD1xxOLw","width":168,"height":94},{"url":"https://i.ytimg.com/vi/PJc81IyTQdc/hqdefault.jpg?sqp=-oaymwE2CNACELwBSFXyq4qpAygIARUAAIhCGAFwAcABBvABAfgB_giAAtAFigIMCAAQARgTIDAofzAP rs=AOn4CLBT5_JaRvEE_QsWloRhujXfKjQDDQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Soveltava tehtävä rationaaliyhtälöistä by Matematiikan Messi 70 views 1 month ago 12 minutes, 30 seconds"}},"simpleText":"Soveltava tehtävä rationaaliyhtälöistä"},"longBylineText":{"runs":[{"text":"Matematiikan Messi","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematiikanmessi","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE7-3kIjd75bgv1LfjYWo7w","canonicalBaseUrl":"/@matematiikanmessi"}}}]},"publishedTimeText":{"simpleText":"1 month ago"},"viewCountText":{"simpleText":"70 views"},"lengthText":{"accessibility":{"accessibilityData":{"label":"12 minutes, 30 seconds"}},"simpleText":"12:30"},"navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWRIxLG9_829lO7BAZoBBQgBEPgd","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=PJc81IyTQdc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"PJc81IyTQdc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-nvm-cxb6.googlevideo.com/initplayback?source=youtube oeis=1 c=WEB oad=3200 ovd=3200 oaad=11000 oavd=11000 ocs=700 oewis=1 oputc=1 ofpcc=1 msp=1 odepv=1 id=3c973cd48c9341d7 ip=2a02%3A27aa%3A0%3A0%3A0%3A0%3A0%3Ad49 initcwndbps=550000 mt=1740925752 oweuc= pxtags=Cg4KAnR4Egg1MTM5MzE2Mg rxtags=Cg4KAnR4Egg1MTM5MzE2MA%2CCg4KAnR4Egg1MTM5MzE2MQ%2CCg4KAnR4Egg1MTM5MzE2Mg%2CCg4KAnR4Egg1MTM5MzE2Mw%2CCg4KAnR4Egg1MTM5MzE2NA"}}}}},"shortBylineText":{"runs":[{"text":"Matematiikan Messi","navigationEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMsyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@matematiikanmessi","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCE7-3kIjd75bgv1LfjYWo7w","canonicalBaseUrl":"/@matematiikanmessi"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/ytc/AIdro_morq6NunMWa79oR46ct_7HF7DWPWbwxUYfbgbgOtdwjg=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMtA14PN5Miaz8s8","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"70 views"}},"simpleText":"70 views"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Add to queue"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CK0BEP6YBBgFIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CK0BEP6YBBgFIhMIufiPwM_riwMVytFCBR2BrxTL","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"PJc81IyTQdc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CK0BEP6YBBgFIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["PJc81IyTQdc"],"params":"CAQ%3D"}},"videoIds":["PJc81IyTQdc"]}},{"clickTrackingParams":"CK0BEP6YBBgFIhMIufiPwM_riwMVytFCBR2BrxTL","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Added to queue"},"trackingParams":"CK4BELlqIhMIufiPwM_riwMVytFCBR2BrxTL"}},"popupType":"TOAST"}}]}},"trackingParams":"CK0BEP6YBBgFIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"menuServiceItemDownloadRenderer":{"serviceEndpoint":{"clickTrackingParams":"CKwBENGqBRgGIhMIufiPwM_riwMVytFCBR2BrxTL","offlineVideoEndpoint":{"videoId":"PJc81IyTQdc","onAddCommand":{"clickTrackingParams":"CKwBENGqBRgGIhMIufiPwM_riwMVytFCBR2BrxTL","getDownloadActionCommand":{"videoId":"PJc81IyTQdc","params":"CAIQAA%3D%3D"}}}},"trackingParams":"CKwBENGqBRgGIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Share"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtQSmM4MUl5VFFkYw%3D%3D","commands":[{"clickTrackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CKsBEI5iIhMIufiPwM_riwMVytFCBR2BrxTL","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","hasSeparator":true}}],"trackingParams":"CKgBEKQwGAIiEwi5-I_Az-uLAxXK0UIFHYGvFMs=","accessibility":{"accessibilityData":{"label":"Action menu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"12 minutes, 30 seconds"}},"simpleText":"12:30"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Watch later","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"PJc81IyTQdc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CKoBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"PJc81IyTQdc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Watch later"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKoBEPnnAxgBIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Add to queue","toggledTooltip":"Added","untoggledServiceEndpoint":{"clickTrackingParams":"CKkBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CKkBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"PJc81IyTQdc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CKkBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["PJc81IyTQdc"],"params":"CAQ%3D"}},"videoIds":["PJc81IyTQdc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Add to queue"}},"toggledAccessibility":{"accessibilityData":{"label":"Added"}},"trackingParams":"CKkBEMfsBBgCIhMIufiPwM_riwMVytFCBR2BrxTL"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Now playing"}]}}}],"accessibility":{"accessibilityData":{"label":"Soveltava tehtävä rationaaliyhtälöistä - 12 minutes, 30 seconds - Go to channel - Matematiikan Messi - 70 views - 1 month ago - play video"}},"richThumbnail":{"movingThumbnailRenderer":{"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/ivI-OrWwdg4/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLCo8Gafo616zC4xzcb-_YhTzLQ99Q","width":168,"height":94},{"url":"https://i.ytimg.com/vi/ivI-OrWwdg4/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLBS6cv182WYwAiH8oV49DaaWzTsgw","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAYLISTS"}}]},"text":"30 videos","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":466995,"darkTheme":466995}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Play all","styleRuns":[{"startIndex":0,"length":8}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":866649,"darkTheme":866649}}},"stackColor":{"lightTheme":7046553,"darkTheme":7767955}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"LOPS 2021 MAA10 3D-geometria"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"Matematiikan Messi

#############################









Content Report
Youtor.org / YTube video Downloader © 2025

created by www.youtor.org