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Find the torque of a alphaforce F=-3hati...

Find the torque of a `alpha`force `F=-3hati+hatj+5hatk`acting at the point `r=7hati+3hatj+hatk`

A

`14hati- 38 hatj + 16 hatk`

B

`4hati + 4hatj + 6hatk`

C

`-21hati + 4hatj+ 4hatk`

D

`-14hati + 38 hatj - 16 hatk`

Text Solution

Verified by Experts

The correct Answer is:
A
`vectau = |{:(hati, hatj, hatk),(7,3,1),(-3,1,5):}| =hati(15-1) - hatj(35 +3) +hatk(7+9)=14hati - 38 hatj + 16 hatk`
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