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Find the torque of a force (7 hati + 3ha...

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)`.

A

`2hati+12hatj+10hatk`

B

`2hati+10hatj+12hatk`

C

`2hati+10hatj+10hatk`

D

`10hati+2hatj+hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
Here, `vecr=hati-hatj+hatk, vecF=7hati+3hatj-5hatk`
Torque, `vectau=vecr xx vecF`
`|{:[hati,hatj,hatk],[1,-1,1],[7,3,-5]:}|=hati(5-3)+hatj(7-(-5))+hatk(3-(-7))`
or `vectau=2hati+12hatj+10hatk`
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