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(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

Find lambda if the vectors vec a=hat i-lambda hat j+3 hat k and vec b=4 hat i-5 hat j+2 hat k are perpendicular to each other.

Prove that the vectors vec A = 4 hat i + 3 hat j + hat k and vec B = 12 hat i + 9 hat j + 3 hat k are parallel to each other.

If the vectors vec(a) = 3 hat (j) + 6 hat (k) and vec (b) = - 2 hat (i) + m hat (j) - 3 hat (k) are perpendicular to each other , then the value of m 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 .

If the vectors given by vec(A) = hat(i) + 2hat(j) + 2hat(k) and vec(B) = hat(i) - hat(j) + n hat(k) are prerpendicular to each other find the value of n .

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

Write the value of lambda so that the vectors vec(a) = 2hat(i) + lambda hat(j) + hat(k) and vec(b) = hat(i) - 2hat(j) + 3hat(k) are perpendicular to each other ?