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If veca,vecb are two unit vectors such t...

If `veca,vecb` are two unit vectors such that `veca+(veca xx vecb)=vecc`, where `|vecc|=2`, then value of `[vecavecbvecc]` is

A

0

B

`+-1`

C

`-3`

D

3

Text Solution

Verified by Experts

The correct Answer is:
D
`veca+(veca xx vecb)=vecc`
Taking dot product with `veca`, we get `veca^(2)=veca.vecc` and so `veca.vecc=1`.
Taking dot product with `vecc`, we get
`veca.vecc+(veca xx vecb) . vecc=vecc.vecc`
So `1+[vecavecbvecc]=4`
`rArr [vecavecbvecc]=3`
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