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

Let `vec(alpha)=hat(i)+hat(j)+hat(k),vec(beta)=hat(i)-hat(j)-hat(k)andvec(gamma)=-hat(i)+hat(j)-hat(k)` be three vectors. A vector `vec(delta),` in the plane of `vec(alpha)andvec(beta),` whose projection on `vec(gamma)" is "(1)/sqrt(3),` 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)+3hat(j)-3hat(k)`

Text Solution

Verified by Experts

The correct Answer is:
C
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