Let `pi` be the plane passing through the points `hat(i), hat(j), hat(i)+hat(j)+hat(k)` and L be the line passing through the point `hat(i)+2hat(j)+3hat(k)` and parallel to the vector `hat(i)-hat(j)+hat(k)`. If `P(alpha, beta, gamma)` is the point of intersection of the plane `pi` and line L, then `sqrt((alpha^(2)+beta^(2))gamma^(2))=`

Options

A. 0
B. 1
C. 6
D. `sqrt(14)`

Answer

C