Let ` vec a=2 hat i- hat j+ hat k , vec b= hat i+2 hat j + hat k` and `vec c= hat i+ hat j-2 hat k` be three vectors. A vector in the plane of ` vec b and vec c` , whose projection on ` vec a` is of magnitude `sqrt(2//3)` , is

Options

A. (a) `2hat(i)+3hat(j)-3hat(k)`
B. (b) `0hat(i)+hat(j)+3hat(k)`
C. (b) `-2hat(i)-hat(j)+5hat(k)`
D. (d) `2hat(i)+hat(j)+5hat(k)`

Answer

A, C