A spacecraft at `hat(i)+2hat(j)+3hat(k)` is subjected to a force `lambda hat(k)` by firing a rocket. The spacecraft is subjected to a moment of magnitude

A spacecraft at hat(i) + 2hat(j) + 3hat(k) is subjected to a force lamda hat(k) by firing a rocket. The spacecraft is subjected to a moment of magnitude.

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

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

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

A vector of magnitude 5 and perpendicular to hat(i) - 2 hat(j) + hat(k) and 2 hat(i) + hat(j) - 3 hat(k) is

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 three vectors 2hat(i)-hat(j)-hat(k), hat(i)+2hat(j)-3hat(k) and 3hat(i)+lambda hat(j)+5hat(k) are coplanar, then the value of lambda is

Two unlike forces of equal magnitudes 3hat(i)+hat(k) and -3hat(i)-hat(k) acting at the points hat(i)+2hat(j)-hat(k) and 2hat(i)-hat(j)+3hat(k) respectively. Find the moment of the coupie formed by the forces.