Complex numbers their magnitude and how to draw on coordinate axis MMP1
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=Uz6ZD4adtEA
in this video we will learn about complex numbers and their operations • i made complete course videos of mmp so for learning subscribe my channel. • complex numbers | magnitude and angle | draw o • complex numbers magnitude and phase • complex numbers angle • complex numbers angle calculator • how to find magnitude and angle of complex number • complex numbers magnitude calculator • angle complex number • magnitude and angle of complex number calculator • what is the magnitude of a complex number • magnitude and angle to complex • what is the magnitude and direction angle of vector c • angle complex number matlab • find the magnitude and direction angle for each vector • how to find magnitude and phase of complex number • j angle • j complex number • matlab complex number from magnitude and angle • how to find the angle of complex numbers • plot complex numbers on complex plane • r complex numbers • complex numbers and trigonometry • complex number magnitude and phase calculator • 3d complex numbers • 9 compass drive harwich ma • From my channel you will learn skills of scientific calculator and many more and basic Maths , Physics and English. subscribe my youtube channel it will help you so much. i teach you skills on my channel and also Physics practical.","styleRuns":[{"startIndex":0,"length":1230,"styleRunExtensions":{"styleRunColorMapExtension":{"colorMap":[{"key":"USER_INTERFACE_THEME_DARK","value":4294967295},{"key":"USER_INTERFACE_THEME_LIGHT","value":4279440147}]}},"fontFamilyName":"Roboto"}]},"headerRuns":[{"startIndex":0,"length":1230,"headerMapping":"ATTRIBUTED_STRING_HEADER_MAPPING_UNSPECIFIED"}]}},{"itemSectionRenderer":{"contents":[{"continuationItemRenderer":{"trigger":"CONTINUATION_TRIGGER_ON_ITEM_SHOWN","continuationEndpoint":{"clickTrackingParams":"CLwBELsvGAIiEwiI75DRk62KAxWiBHMJHXXyF7Y=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/next"}},"continuationCommand":{"token":"Eg0SC1V6NlpENGFkdEVBGAYyJSIRIgtVejZaRDRhZHRFQTAAeAJCEGNvbW1lbnRzLXNlY3Rpb24%3D","request":"CONTINUATION_REQUEST_TYPE_WATCH_NEXT"}}}}],"trackingParams":"CLwBELsvGAIiEwiI75DRk62KAxWiBHMJHXXyF7Y=","sectionIdentifier":"comment-item-section","targetId":"comments-section"}}],"trackingParams":"CLsBELovIhMIiO-Q0ZOtigMVogRzCR118he2"}},"secondaryResults":{"secondaryResults":{"results":[{"compactVideoRenderer":{"videoId":"C8i0XngdzF4","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/C8i0XngdzF4/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLAaYUrJm6K8XHLW7xuDsV3dj03yXg","width":168,"height":94},{"url":"https://i.ytimg.com/vi/C8i0XngdzF4/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDxoDugIjkZWGGZKevkBtTuemS3jA","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Magnitude, conjugate of complex numbers and polar form | MMP-1| Lecture 2 door Advance Learning and Skills 24 weergaven 1 jaar geleden 5 minuten en 53 seconden"}},"simpleText":"Magnitude, conjugate of complex numbers and polar form | MMP-1| Lecture 2"},"longBylineText":{"runs":[{"text":"Advance Learning and Skills","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7YyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MuhammadShaban..m","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoJe89ws-AbtPitYE6Aa8PA","canonicalBaseUrl":"/@MuhammadShaban..m"}}}]},"publishedTimeText":{"simpleText":"1 jaar geleden"},"viewCountText":{"simpleText":"24 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"5 minuten en 53 seconden"}},"simpleText":"5:53"},"navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7YyB3JlbGF0ZWRIwOj2tPihpp9TmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=C8i0XngdzF4","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"C8i0XngdzF4","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr2---sn-5hnekn7l.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=0bc8b45e781dcc5e ip=5.34.180.93 initcwndbps=402500 mt=1734381429 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Advance Learning and Skills","navigationEndpoint":{"clickTrackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7YyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MuhammadShaban..m","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoJe89ws-AbtPitYE6Aa8PA","canonicalBaseUrl":"/@MuhammadShaban..m"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/W8TVPKXDj0AMZVvZqESaZNoJ-D0i_IkfbPWpHF3yA5W83OYnA9WYa38dJ3afzRMmmntmtQhgYw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7ZA3pj3wOeLreQL","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"24 weergaven"}},"simpleText":"24 weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLkBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLkBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"C8i0XngdzF4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLkBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["C8i0XngdzF4"],"params":"CAQ%3D"}},"videoIds":["C8i0XngdzF4"]}},{"clickTrackingParams":"CLkBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CLoBELlqIhMIiO-Q0ZOtigMVogRzCR118he2"}},"popupType":"TOAST"}}]}},"trackingParams":"CLkBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7Y=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtDOGkwWG5nZHpGNA%3D%3D","commands":[{"clickTrackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7Y=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLgBEI5iIhMIiO-Q0ZOtigMVogRzCR118he2","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7Y=","hasSeparator":true}}],"trackingParams":"CLUBEKQwGAAiEwiI75DRk62KAxWiBHMJHXXyF7Y=","accessibility":{"accessibilityData":{"label":"Actiemenu"}},"targetId":"watch-related-menu-button"}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"5 minuten en 53 seconden"}},"simpleText":"5:53"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgBIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"C8i0XngdzF4","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLcBEPnnAxgBIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"C8i0XngdzF4"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLcBEPnnAxgBIhMIiO-Q0ZOtigMVogRzCR118he2"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLYBEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLYBEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"C8i0XngdzF4","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLYBEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["C8i0XngdzF4"],"params":"CAQ%3D"}},"videoIds":["C8i0XngdzF4"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLYBEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Magnitude, conjugate of complex numbers and polar form | MMP-1| Lecture 2 - 5 minuten en 53 seconden - Naar kanaal gaan - Advance Learning and Skills - 24 weergaven - 1 jaar geleden - video afspelen"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/C8i0XngdzF4/mqdefault_6s.webp?du=3000 sqp=CKqhgrsG rs=AOn4CLDsF7W4mO0V86ivax4wowYVzFryYw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"compactVideoRenderer":{"videoId":"kxLrWqTbNEc","thumbnail":{"thumbnails":[{"url":"https://i.ytimg.com/vi/kxLrWqTbNEc/hqdefault.jpg?sqp=-oaymwEbCKgBEF5IVfKriqkDDggBFQAAiEIYAXABwAEG rs=AOn4CLB8jDhpoyF-DFrqhDgpwfKhfFhO2A","width":168,"height":94},{"url":"https://i.ytimg.com/vi/kxLrWqTbNEc/hqdefault.jpg?sqp=-oaymwEcCNACELwBSFXyq4qpAw4IARUAAIhCGAFwAcABBg== rs=AOn4CLDUFllQjT7Q9icyc0JVT8CaQ_i8fQ","width":336,"height":188}]},"title":{"accessibility":{"accessibilityData":{"label":"Zettili quantum mechanics problem 4.1 | Quantum Mechanics concepts and applications problem 4.1 door Advance Learning and Skills 71 weergaven 3 weken geleden 33 minuten"}},"simpleText":"Zettili quantum mechanics problem 4.1 | Quantum Mechanics concepts and applications problem 4.1"},"longBylineText":{"runs":[{"text":"Advance Learning and Skills","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7YyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MuhammadShaban..m","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoJe89ws-AbtPitYE6Aa8PA","canonicalBaseUrl":"/@MuhammadShaban..m"}}}]},"publishedTimeText":{"simpleText":"3 weken geleden"},"viewCountText":{"simpleText":"71 weergaven"},"lengthText":{"accessibility":{"accessibilityData":{"label":"33 minuten en 32 seconden"}},"simpleText":"33:32"},"navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7YyB3JlbGF0ZWRIwOj2tPihpp9TmgEFCAEQ-B0=","commandMetadata":{"webCommandMetadata":{"url":"/watch?v=kxLrWqTbNEc","webPageType":"WEB_PAGE_TYPE_WATCH","rootVe":3832}},"watchEndpoint":{"videoId":"kxLrWqTbNEc","nofollow":true,"watchEndpointSupportedOnesieConfig":{"html5PlaybackOnesieConfig":{"commonConfig":{"url":"https://rr5---sn-5hne6nzk.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=9312eb5aa4db3447 ip=5.34.180.93 initcwndbps=402500 mt=1734381429 oweuc="}}}}},"shortBylineText":{"runs":[{"text":"Advance Learning and Skills","navigationEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7YyB3JlbGF0ZWQ=","commandMetadata":{"webCommandMetadata":{"url":"/@MuhammadShaban..m","webPageType":"WEB_PAGE_TYPE_CHANNEL","rootVe":3611,"apiUrl":"/youtubei/v1/browse"}},"browseEndpoint":{"browseId":"UCoJe89ws-AbtPitYE6Aa8PA","canonicalBaseUrl":"/@MuhammadShaban..m"}}}]},"channelThumbnail":{"thumbnails":[{"url":"https://yt3.ggpht.com/W8TVPKXDj0AMZVvZqESaZNoJ-D0i_IkfbPWpHF3yA5W83OYnA9WYa38dJ3afzRMmmntmtQhgYw=s68-c-k-c0x00ffffff-no-rj","width":68,"height":68}]},"trackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7ZAx-jspqrruomTAQ==","shortViewCountText":{"accessibility":{"accessibilityData":{"label":"71 weergaven"}},"simpleText":"71 weergaven"},"menu":{"menuRenderer":{"items":[{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Toevoegen aan wachtrij"}]},"icon":{"iconType":"ADD_TO_QUEUE_TAIL"},"serviceEndpoint":{"clickTrackingParams":"CLMBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLMBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"kxLrWqTbNEc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLMBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["kxLrWqTbNEc"],"params":"CAQ%3D"}},"videoIds":["kxLrWqTbNEc"]}},{"clickTrackingParams":"CLMBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2","openPopupAction":{"popup":{"notificationActionRenderer":{"responseText":{"simpleText":"Toegevoegd aan wachtrij"},"trackingParams":"CLQBELlqIhMIiO-Q0ZOtigMVogRzCR118he2"}},"popupType":"TOAST"}}]}},"trackingParams":"CLMBEP6YBBgGIhMIiO-Q0ZOtigMVogRzCR118he2"}},{"menuServiceItemRenderer":{"text":{"runs":[{"text":"Delen"}]},"icon":{"iconType":"SHARE"},"serviceEndpoint":{"clickTrackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7Y=","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/share/get_share_panel"}},"shareEntityServiceEndpoint":{"serializedShareEntity":"CgtreExyV3FUYk5FYw%3D%3D","commands":[{"clickTrackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7Y=","openPopupAction":{"popup":{"unifiedSharePanelRenderer":{"trackingParams":"CLIBEI5iIhMIiO-Q0ZOtigMVogRzCR118he2","showLoadingSpinner":true}},"popupType":"DIALOG","beReused":true}}]}},"trackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7Y=","hasSeparator":true}}],"trackingParams":"CK8BEKQwGAEiEwiI75DRk62KAxWiBHMJHXXyF7Y=","accessibility":{"accessibilityData":{"label":"Actiemenu"}}}},"thumbnailOverlays":[{"thumbnailOverlayTimeStatusRenderer":{"text":{"accessibility":{"accessibilityData":{"label":"33 minuten en 32 seconden"}},"simpleText":"33:32"},"style":"DEFAULT"}},{"thumbnailOverlayToggleButtonRenderer":{"isToggled":false,"untoggledIcon":{"iconType":"WATCH_LATER"},"toggledIcon":{"iconType":"CHECK"},"untoggledTooltip":"Later bekijken","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"addedVideoId":"kxLrWqTbNEc","action":"ACTION_ADD_VIDEO"}]}},"toggledServiceEndpoint":{"clickTrackingParams":"CLEBEPnnAxgBIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/browse/edit_playlist"}},"playlistEditEndpoint":{"playlistId":"WL","actions":[{"action":"ACTION_REMOVE_VIDEO_BY_VIDEO_ID","removedVideoId":"kxLrWqTbNEc"}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Later bekijken"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLEBEPnnAxgBIhMIiO-Q0ZOtigMVogRzCR118he2"}},{"thumbnailOverlayToggleButtonRenderer":{"untoggledIcon":{"iconType":"ADD_TO_QUEUE_TAIL"},"toggledIcon":{"iconType":"PLAYLIST_ADD_CHECK"},"untoggledTooltip":"Toevoegen aan wachtrij","toggledTooltip":"Toegevoegd","untoggledServiceEndpoint":{"clickTrackingParams":"CLABEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true}},"signalServiceEndpoint":{"signal":"CLIENT_SIGNAL","actions":[{"clickTrackingParams":"CLABEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2","addToPlaylistCommand":{"openMiniplayer":false,"openListPanel":true,"videoId":"kxLrWqTbNEc","listType":"PLAYLIST_EDIT_LIST_TYPE_QUEUE","onCreateListCommand":{"clickTrackingParams":"CLABEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2","commandMetadata":{"webCommandMetadata":{"sendPost":true,"apiUrl":"/youtubei/v1/playlist/create"}},"createPlaylistServiceEndpoint":{"videoIds":["kxLrWqTbNEc"],"params":"CAQ%3D"}},"videoIds":["kxLrWqTbNEc"]}}]}},"untoggledAccessibility":{"accessibilityData":{"label":"Toevoegen aan wachtrij"}},"toggledAccessibility":{"accessibilityData":{"label":"Toegevoegd"}},"trackingParams":"CLABEMfsBBgCIhMIiO-Q0ZOtigMVogRzCR118he2"}},{"thumbnailOverlayNowPlayingRenderer":{"text":{"runs":[{"text":"Wordt nu afgespeeld"}]}}}],"accessibility":{"accessibilityData":{"label":"Zettili quantum mechanics problem 4.1 | Quantum Mechanics concepts and applications problem 4.1 - 33 minuten - Naar kanaal gaan - Advance Learning and Skills - 71 weergaven - 3 weken geleden - video afspelen"}},"richThumbnail":{"movingThumbnailRenderer":{"movingThumbnailDetails":{"thumbnails":[{"url":"https://i.ytimg.com/an_webp/kxLrWqTbNEc/mqdefault_6s.webp?du=3000 sqp=CIiKgrsG rs=AOn4CLDqDUZ2LJIyghe9GhDSiSlK8s7jBw","width":320,"height":180}],"logAsMovingThumbnail":true},"enableHoveredLogging":true,"enableOverlay":true}}}},{"lockupViewModel":{"contentImage":{"collectionThumbnailViewModel":{"primaryThumbnail":{"thumbnailViewModel":{"image":{"sources":[{"url":"https://i.ytimg.com/vi/KCS-VTm398I/hqdefault.jpg?sqp=-oaymwEWCKgBEF5IWvKriqkDCQgBFQAAiEIYAQ== rs=AOn4CLABCrOZW-7TxV05V3Gnsm8fjK0bCQ","width":168,"height":94},{"url":"https://i.ytimg.com/vi/KCS-VTm398I/hqdefault.jpg?sqp=-oaymwEXCNACELwBSFryq4qpAwkIARUAAIhCGAE= rs=AOn4CLCWHmyHcQfjZhS0TlPG7uD6ID3izA","width":336,"height":188}]},"overlays":[{"thumbnailOverlayBadgeViewModel":{"thumbnailBadges":[{"thumbnailBadgeViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"COURSE"}}]},"text":"32 lessen","badgeStyle":"THUMBNAIL_OVERLAY_BADGE_STYLE_DEFAULT","backgroundColor":{"lightTheme":3347995,"darkTheme":3347995}}}],"position":"THUMBNAIL_OVERLAY_BADGE_POSITION_BOTTOM_END"}},{"thumbnailHoverOverlayViewModel":{"icon":{"sources":[{"clientResource":{"imageName":"PLAY_ALL"}}]},"text":{"content":"Alles afspelen","styleRuns":[{"startIndex":0,"length":14}]},"style":"THUMBNAIL_HOVER_OVERLAY_STYLE_COVER"}}],"backgroundColor":{"lightTheme":5842480,"darkTheme":5842480}}},"stackColor":{"lightTheme":10054515,"darkTheme":9664123}}},"metadata":{"lockupMetadataViewModel":{"title":{"content":"FOURIER SERIES (Complete Playlist)"},"metadata":{"contentMetadataViewModel":{"metadataRows":[{"metadataParts":[{"text":{"content":"MKS TUTORIALS by Manoj Sir
#############################