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Let ` vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i- hat j- hat k` be three vectors. A vector ` vec v` in the plane of ` vec aa n d vec b ,` whose projection on ` vec c` is `1/(sqrt(3))` is given by ` hat i-3 hat j+3 hat k` b. `-3 hat i-3 hat j+3 hat k` c. `3 hat i- hat j+3 hat k` d. ` hat i+3 hat j-3 hat k`

A

`hat i- 3 hat j + 3 hat k`

B

`-3hat i- 3 hat j + hat k`

C

`3hat i- hat j + 3 hat k`

D

`hat i- 3 hat j - 3 hat k`

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