Mathegoras

Vectors and matrices › Lines, planes and vectors in space › Angles between vectors and planes

Maximum angle between cyclic vectors

High school · ●●●○○ 50 pts

Let a,b,ca, b, c be nonzero real numbers. Find the maximum angle, in degrees, between the vectors (abc)\begin{pmatrix} a \\ b \\ c \end{pmatrix} and (bca)\begin{pmatrix} b \\ c \\ a \end{pmatrix}.

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dot productangle between vectors