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A and B are two vectors and θ is the angle between them ,if |A x B|=√3(A.B),the value of θ

A and B are two vectors and θ is the angle between them ,if ｜A x B｜=√3(A･B),the value of θ is

Options

(a) 60ﾟ
(b) 45ﾟ
(c) 30ﾟ
(d) 90ﾟ

Correct Answer:

60ﾟ

Explanation:

Given |A x B|= √3 (A.B)
AB sinθ = √3 AB cosθ
AB sinθ/AB cosθ = √3
tan θ = √3
θ = tan⁻¹√3 = 60°.

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