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Question

A and B are two vectors and θ is the angle between them,if A×B=3(AB) the value of θ is


A

60°

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B

45°

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C

30°

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D

90°

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Solution

The correct option is A

60°


Finding the angle between the vectors :

A×B=3(AB)

ABsinθ=3ABcosθ

Cancelling both sides we get

sinθ=3cosθ

sinθcosθ=3tanθ=3

Hence θ=60°

Hence the angle between A and B is 60°

So option(A) is the correct answer and all other options are incorrect answers .


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