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Applications of Dot Product

If two vector...

Question

If two vectors $\to a$ and $\to b$ are such that $| \to a . \to b | = | \to a \times \to b |$ , tyhen find the angle between the vectors $\to a$ and $\to b$ .

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Solution

$| a | \times | b | * c o s α = | a | \times | b | * sin α t a n α = 1$
Hence angle $= 45 °$

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