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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:
  1. 0o
  2. 45o
  3. 90o
  4. 180o

A
0o
B
180o
C
45o
D
90o
Solution
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Here, |A+B|=|AB|
A2+B2+2A.B=A2+B22A.B
4A.B=0
As dot products of two vectors is zero so the angle between them will be 90o.

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