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Two vectors, both equal in magnitude, ha...

Two vectors, both equal in magnitude, have their resultant equal in magnitude of the either. Find the angle between the two vectors.

A

`30^(@)`

B

`60^(@)`

C

`120^(@)`

D

`150^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B, C
`|vec(A).vec(B)|=AB|cos theta|=8`,
`|vec(A)xxvec(B)|=AB|sin theta|=8 sqrt(3)`
`rArr |tan theta|=(8sqrt(3))/8=sqrt(3) rArr theta=60^(@), 120^(@)`
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