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MATH / If a and b are vectors such that ‖a‖=2, ‖b‖=7, and mathbf{a} times mathbf{b} = begin{pmatrix} 3 2 6 end{pmatrix},then find the smallest possible angle between a and b, in degrees…

Problem

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problem

If a\mathbf{a} and b\mathbf{b} are vectors such that ‖a‖=2,\|\mathbf{a}\| = 2, ‖b‖=7,\|\mathbf{b}\| = 7, and \[\mathbf{a} \times \mathbf{b} = \begin{pmatrix} 3 \\ 2 \\ 6 \end{pmatrix},\]then find the smallest possible angle between a\mathbf{a} and b,\mathbf{b}, in degrees.
Plain-text mathematical notation (without MathML)
If a and b are vectors such that ‖a‖=2, ‖b‖=7, and
\[\mathbf{a} \times \mathbf{b} = \begin{pmatrix} 3 \\ 2 \\ 6 \end{pmatrix},\]then find the smallest possible angle between a and b, in degrees.
Original LaTeX notation
If $\mathbf{a}$ and $\mathbf{b}$ are vectors such that $\|\mathbf{a}\| = 2,$ $\|\mathbf{b}\| = 7,$ and
\[\mathbf{a} \times \mathbf{b} = \begin{pmatrix} 3 \\ 2 \\ 6 \end{pmatrix},\]then find the smallest possible angle between $\mathbf{a}$ and $\mathbf{b},$ in degrees.

level

Level 2

type

Precalculus

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Source and history

task_id
393d0a3e-cdaa-5e1e-b384-42f77785d06d
task_key
precalculus--test--393d0a3e-cdaa-5e1e-b384-42f77785d06d
task_revision_id
1
config / split
precalculus / test

Official source

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