Theorie Winkel zwischen einem Vektor und den drei Koordinatenachsen

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Mit Hilfe des Skalarproduktes lässt sich der Winkel zwischen zwei beliebigen Vektoren aus dem arcuscosinus des Skalarproduktes, dividiert durch die Vektorbeträge ausrechnen. Definiert man die Einheitsvektoren 1,0,0 sowie 0,1,0 und 0,0,1, so ergibt sich der arcuscosinus aus der jeweiligen Komponente des Vektors, dividiert durch die Vektorlänge, als Winkel zu den drei 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