If two vectors `2hat(i)+3hat(j)-hat(k)` and `-4hat(i)-6hat(j)-lambda hat(k)` are parallel to each other,then find the value of `lambda`

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 -4 hat (i)-6 hat (j) - 2 hat (k) , - hat (i) + 4hat (j) + 3hat (k) and - 8 hat (i) - hat (j) + lambda hat (k) are coplanar , then find the value of lambda

If the vectors vec(a) = 2hat(i) + hat(j) + 4hat(k), vec(b) = 4hat(i) - 2hat(j) + 3hat(k) and vec(c) = 2hat(i) - 3hat(j) - lambda hat(k) are coplanar, then findvalue of lambda

If vec(a) = 2hat(i) - hat(j) + 3hat(k) and vec(b) = (6hat(i) + lambda hat(j) + 9 hat(k)) and vec(a) is parallel to vec(b) , find the value of lambda .

The scaler product of the vector hat (i) + hat (j) + hat (k) with the unit vector along the sum of vectors 2 hat (i) + 4 hat (j) - 5 hat (k) and lambda hat (i) + 2 hat (j) + 3 hat (k) is equal to one . Find the value of lambda

If vector hat(i)+hat(j)+hat(k), hat(i)-hat(j)+hat(k) and 2hat(i)+3hat(j)+lambda hat(k) are coplanar, then lambda is equal to

If the vectors hat i+3hat j+4hat k,lambdahat i-4hat j+hat k ,are orthogonal to each other,then lambda=