Find the force experienced by the wire carrying a current `2A` if the ends `P` and `Q` of the wire have coordinates `(1,2-3)m` and `(-2,-5,1)m` respectively when it is placed in a magnetic field `vec(B)=(hat(i)+hat(j)+hat(k))T`

Explanation

The force acting on the wire is `vec(F)=vec(ir_(21))xxvec(B)`

`=i(vec(r_(2))-vec(r_(1)))xxvec(B)`
`=2(-3hat(i)-7hat(j)+4hat(k))xx(hat(i)+hat(j)+hat(k))`
`=2(-11hat(i)+7hat(j)+4hat(k))N`