A force F → = 4 i ^ + 3 j ^ + 4 k ^ is applied on an intersection point of x = 2 plane and x -axis. The magnitude of torque of this force about a point 2 , 3 , 4 is ________. (Round off to the Nearest Integer)

Step-by-step solution

τ → = r → × F → r → = 2 i ^ - 2 i ^ + 3 j ^ + 4 k ^ = - 3 j ^ - 4 k ^ and F → = 4 i ^ + 3 j ^ + 4 k ^ τ → = r → × F → = i ^ j ^ k ^ 0 - 3 - 4 4 3 4 = i ^ - 12 + 12 - j ^ 0 + 16 + k ^ 0 + 12 = - 16 i ^ + 12 k ^ ∴   | τ → | = 16 2 + 12 2 = 20