The vector `vec(P)= ahat(i)+ahat(j)+3hat(k)` and `vec(Q)= ahat(i)-2hat(j)-hat(k)` are perpendicular to each other. The positive value of `a` is

If the vectors vec(P) = a hat(i) + a hat(j) + 3 hat(k) and vec(Q) = a hat(i) - 2hat(j) - hat(k) are perpendicular to each other then the positive value of .a. is

The vectors vec P = a hat I + a hat j + 3 hat k) and vec Q = a hat I - 2 hat j - hat kl are peroendicular to each other. The positve value of (a) is.

If the vectors vec A=hat ai+ahat j+3hat k and vec B=hat ai-2hat j-hat k are perpendicular to each other,then the positive value of a is

If the vectors vec A=hat i+hat j+3hat k and vec B=xhat i-2hat j-hat k are perpendicular to each other then the positive value of x is

If vectors vec(a) = 3 hat(i) + hat(j) - 2 hat(k) and vec(b) = hat(i) + lambda(j) - 3 hat (k) are perpendicular to each other , find the value of lambda .