The position vectors of radius are `vec(r_(1))=2hati+hatj + hatk` , `vec(r_(2))=2hati - 3hatj + hatk` while those of linear momentum are `2hati + 3hatj - hatk`. The angular momentum is :

Options

A. `2hati-4hatk`
B. `4 hati-8hatk`
C. `2hati - 4hatj + 2hatk`
D. `4 hati-8 hatj`

Answer

B

Explanation

Here `vec(r_(1))+vec(r_(2))=vec(r )`
`vec(r )=(4hati-2hatj+2hatk)`
`L=vec(r )xxvec(p)=(4hati-2hatj+2hatk)xx(2hati+3hatj-hatk)`
`(4hati-8hatk)`