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Vector Addition

A⃗ and B⃗ a...

Question

$\to A$ and $\to B$ are two vectors and $θ$ is the angle between them, if $| \to A \times \to B | = \sqrt{3} (\to A . \to B)$ , the value of $θ$ is

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Solution

$| \to A \times \to B | = \sqrt{3} (\to A . \to B)$
$A B sin θ = \sqrt{3} (A B cos θ)$
Or $tan θ = \sqrt{3}$
$⟹ θ = 60^{o}$

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