NEET | 2016VectorHard

Question

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is:

Options

A.

0o

B.

90o

C.

45o

D.

180o

Solution

|A+B|=|A-B|
A2 + B2 + 2AB cos θ = A2 + B2 = 2AB cos θ
4AB cos θ = 0
cos θ = 0
θ = 90o

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