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Applications of Cross Product

If a̅ and ...

Question

If $¯ a$ and $¯ b$ are unit vectors such that $∣ ∣ ¯ a \times ¯ b ∣ ∣ = 1,$ then the angle between $¯ a$ and $¯ b$ is

A

\frac{π}{4}

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B

\frac{π}{2}

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C

\frac{π}{3}

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D

π

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Solution

The correct option is B $\frac{π}{2}$
$\begin{matrix} ∣ ∣ \to a \times \to b ∣ ∣ = 1 sin θ = 1 θ = \frac{π}{2} H e n c e, o p t i o n B i s c o r r e c t a n s w e r . \end{matrix}$

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