Explain how the torque can be expressed as a vector product of two vectors ? How the direction and magnitude of torque is determined ?

Explain how the torque can be expressed as a vector product of two vec

1.	Explain how the torque can be expressed as a vector product of two vectors ? How the direction and magnitude of torque is determined ?
Answer» Solution :(i) For direction, the vector rule or RIGHT hand rule is used. `tau = r F sin theta` (II) The expression for the magnitude of torque can be written in TWO different WAYS by associating `sin theta` either with r of F in the following manner. `{:(tau = r (F sin theta) = r XX (F bot)),(tau = (r sin theta) F = (r bot) xx F):}` (iii) Here, `(F sin theta)` is the component of `vec(F)` perpendicular to `vec(r)`. Similarly, `(r sin theta)` is the component of `vec(r)` perendicular to `vec(F)`