For a body, angular velocity `vecomega= hati-2hatj+3hatk` and radius vector `vecr=hati+hatj+hatk`, then its velocity `(vecv= vecomega xx vecr)` is :

Options

A. `- 5 hati I + 2 hatj + 3 hatk`
B. `- 5 hati + 2 hatj - 3 hatk`
C. `- 5 hati - 2 hatj + 3 hatk`
D. `- 5 hati - 2 hatj - 3 hatk`

Explanation

`vecv = vecomega xx vecr = |{:(hati , hatj , hatk), (1, -2, 3), (1,1,1):}|`
`hati (-2-3) - hatj ( 1- 3) + k(1+2)`
`=- 5 hati + 2 hatj + 3 hatk`