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If $\mathbf{a}, \mathbf{b}$ and $\mathbf{c}$ are non-zero vectors such $\mathbf{a} \times \mathbf{b}=\mathbf{c}$ and $\mathbf{b} \times \mathbf{c}=\mathbf{a}$, then $\mathbf{a} \times \mathbf{c}$ is
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The correct answer is:
parallel to $\mathbf{b}$
Given, $\mathbf{a} \times \mathbf{b}=\mathbf{c}$
and $\mathbf{b} \times \mathbf{c}=\mathbf{a}$
Here, $a, b, c$ are mutually perpendicular vectors.
$\therefore \mathbf{a} \times \mathbf{c}$ is parallel to $\mathbf{b}$.
and $\mathbf{b} \times \mathbf{c}=\mathbf{a}$
Here, $a, b, c$ are mutually perpendicular vectors.
$\therefore \mathbf{a} \times \mathbf{c}$ is parallel to $\mathbf{b}$.
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