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Let vec(alpha)= hat(i)+ hat(j) + hat(k),...

Let `vec(alpha)= hat(i)+ hat(j) + hat(k), vec(beta) = hat(i) - hat(j)- hat(k) and vec(gamma) = - hat(i) + hat(j) - hat(k)` be three vectors. A vector `vec(delta)` , in the plane of `vec(alpha) and vec(beta)`. Whose projection on `vec(gamma) " is " (1)/(sqrt3)`, is given by

A

`-hat(i) -3hat(j)- 3hat(k)`

B

`hat(i) -3hat(j)-3hat(k)`

C

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

D

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

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