What is the value of `lambda ` for which the vectors `hat(i)-hat(j)+hat(k), 2 hat(i)+hat(j)-hat(k) and lambda hat(i)-hat(j)+lambda hat(k)` are co-planar?

The number of distinct real values of lambda , for which the vectors -lambda^(2)hat(i)+hat(j)+hat(k), hat(i)-lambda^(2)hat(j)+hat(k) and hat(i)+hat(j)-lambda^(2)hat(k) are coplanar, is

Find lambda if the vectors hat(i) - hat(j) + hat(k) , 3 hat (i) + hat(j) + 2 hat(k) and lambda hat(j) - 3 hat(k) are coplanar

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

What is the value of lambda for which the vectors 3hat(i)+4hat(j)-hat(k) and -2hat(i)+lambda hat(j)+10hat(k) are perpendicular?

Find 'lambda' if the vectors : hat(i)-hat(j)+hat(k), 3hat(i)+hat(j)+2hat(k) and hat(i)+lambda hat(j)-3hat(k) are coplanar.

The value of 'lambda' such that the vectors : 3hat(i)+lambdahat(j)+5hat(k), hat(i)+2hat(j)-3hat(k) and 2hat(i)-hat(j)+hat(k) are coplanar is __________.

The value of lambda for which the vector 3 hat (i) -6 hat(j) + hat(k) and 2 hat(i) - 4 hat(j) + lambda vec(k) are parallel is

The sum of the distinct real values of mu for which the vectors, muhat(i)+hat(j)+hat(k),hat(i)+muhat(j)+hat(k),hat(i)+hat(j)+muhat(k) are co-planar is :