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Cross Product of Two Vectors

If a⃗ and b⃗ ...

Question

If $\to a a n d \to b$ are non-zero vectors such that $| \to a - 3 \to b | = | \to a + 3 \to b |$ , then the angle between $\to a a n d \to b$ is

A

π/6

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B

π/3

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C

π/4

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D

π/2

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Solution

The correct option is D
π/2

$| \to a - 3 \to b | = | \to a + 3 \to b | \Rightarrow | \to a - 3 \to b |^{2} = | \to a + 3 \to b |^{2} \Rightarrow \to a . \to b = 0 \Rightarrow a n g l e = \frac{π}{2}$

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