Find the torque of a force `(7 hati + 3hatj - 5hatk)` about the origin. The force acts on a particle whose position vector is `(hati - hatj + hatk)`.

Explanation

Here `r=hati-hatj+hatk`
and `F=7hati+3hatj-5hatk`
We shall use the determinant rule to find the torque `tau=rxxF`
`tau=|(hati,hatj,hatk),(1,-1,1),(7,3,-5)|=(5-3)hati-(-5-7)hatj+(3-(-7))hatk`
or `tau=2hati+12hatj+10hatk`