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MATH / Let a, b, c be nonzero real numbers. Find the maximum angle between the vectors begin{pmatrix} a b c end{pmatrix} and begin{pmatrix} b c a end{pmatrix}, in degrees.

Problem

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problem

Let a,a, b,b, cc be nonzero real numbers. Find the maximum angle between the vectors $\begin{pmatrix} a \\ b \\ c \end{pmatrix}$ and $\begin{pmatrix} b \\ c \\ a \end{pmatrix},$ in degrees.
Plain-text mathematical notation (without MathML)
Let a, b, c be nonzero real numbers.  Find the maximum angle between the vectors $\begin{pmatrix} a \\ b \\ c \end{pmatrix}$ and $\begin{pmatrix} b \\ c \\ a \end{pmatrix},$ in degrees.
Original LaTeX notation
Let $a,$ $b,$ $c$ be nonzero real numbers.  Find the maximum angle between the vectors $\begin{pmatrix} a \\ b \\ c \end{pmatrix}$ and $\begin{pmatrix} b \\ c \\ a \end{pmatrix},$ in degrees.

level

Level 4

type

Precalculus

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Source and history

task_id
d2addb03-e81a-5779-812d-e203a2cd690a
task_key
precalculus--test--d2addb03-e81a-5779-812d-e203a2cd690a
task_revision_id
1
config / split
precalculus / test

Official source

initial import