Find the torque of a force 7 hat(i) + 3 hat(j) - 5 hat(k) about the origin. The force acts on a particle whose position vector is hat(i) - hat(j) + hat(k)

Find the torque of a force 7 hat(i) + 3 hat(j) - 5 hat(k) about the or

1.	Find the torque of a force 7 hat(i) + 3 hat(j) - 5 hat(k) about the origin. The force acts on a particle whose position vector is hat(i) - hat(j) + hat(k)
Answer» SOLUTION :`VECF = 7hati + 3hatj - 5hatk and VECR = hati - hatj + hatk` TORQUE `vectau = vecr xx vecF` = `\|{:(hati , hatj , hatk),(1,-1,1),(7,3,-5):}\|` `= (5-3) hati - (7+5)hatj + (3-7)hatk` `vectau = 2hati - 12hatj + 10HATK`