The magnitude of the torque exerted at origin by the force `F=i+2j+k` at the point `(1,1,1)` is ?

Let F_1 be the magnitude of the gravitational force exerted on the Sun by Earth and F_2 be the magnitude of the force exerted on Earth by the Sun. Then:

A force Fhatk acts on O, the origin of the coordinate system. The torque of this force about the point is: (1,-1) is

What is the magnitude of the moment of the couple consisting of the force vec(F)=3 hat(i)+2hat(j)-hat(k) acting through the point hat(i)-hat(j)+hat(k) and -vec(F) acting through the point 2hat(i)-3hat(j)-hat(k) ?

Two long, parallel wires are separated by a distance of 0.400m (as shown in Fig.) The current I_1 and I_2 have the direction shown. (a) Calculate the magnitude of the force exerted by each wire on a 1.20m length of the other. Is the force attractive or repulsive ? (b) Each current is doubled, so that I_1 becomes 10.0A and I_2 becomes 4.00A. Now, what is the magnitude of the force that each wire exerts on a 1.20m length of the other?

A force of - F hat k on O , the origin of the coordinate system. The torque about the point (1, -1) is. .

A force of -4Fhat(K) acts O, the origin of the coordinate system. The torque about the point (1,-1) is