A force `(hat(i)-2hat(j)+3hat(k))` acts on a particle of position vector `(3hat(i)+2hat(j)+hat(k))`. Calculate the torque acting on the particle.

Explanation

`vec(tau)=vec(r )xx vec(F)`
Using Determinant method,
`vec(tau)=|(hat(i),hat(j),hat(k)),(3,2,1),(1,-2,3)|`
`= (6+2)hat(i)-(9-1)hat(j)+(-6-2)hat(k)`
`= 8hat(i)-8hat(j)-8hat(k)`
`rArr vec(tau)=8(hat(i)-hat(j)-hat(k))Nm`.