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If veca and vecb are unit vectors such t...

If `veca and vecb` are unit vectors such that `(veca +vecb). (2veca + 3vecb)xx(3veca - 2vecb)=vec0` then angle between `veca and vecb` is

A

0

B

`pi//2`

C

`pi`

D

indeterminate

Text Solution

Verified by Experts

The correct Answer is:
d
`vec0 = (veca + vecb) . (2veca + 3vecb) xx ( 3veca -2 vecb)`
` = (veca + vecb ) . (-4 veca xx vecb - 9 veca xx vecb)`
`= - 13 (veca + vecb) . (veca xx vecb)`
Which is true for all values of `veca and vecb`.
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