The moment of the force, `vec F = 4 hati + 5 hat j - 6 hat k` at `(2, 0 , - 3)`. About the point `(2, - 2, -2)` is given by

Options

A. `-7hati-8hatj-4hatk`
B. `-4hati-hatj-8hatk`
C. `-8hati-4hatj-7hatk`
D. `-7hati-4hatj-8hatk`

Answer

D

Explanation

`vectau(vecr-vecr_(0))xxvecF`
`vecr=vecr_(0)=(2hati+0hatj-3hatk)-(2hati-2hatj-2hatk)`
`=0hati+2hatj-hatk`
`vectau=(vecr-vecr_(0))xxvecF=|{:(hati,hatj,hatk),(0,2,-1),(4,5,-6):}|`
`=-7hati-4hatj-8hatk`
Hence option (d) is correct.