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Let vecF be the force acitng on a parit...

Let `vecF` be the force acitng on a paritcle having positon vector `vecr and vecT` be the torque of this force about the origin. Then

A

`vec r. vecT = 0 and vec F. vec T !=0`

B

`vec r. vec T != 0 and vec F. vec T =0`

C

`vec r. vec T != 0 and vecF. vecT !=0`

D

`vec r. vec T = 0 and vec F. vecT =0`

Text Solution

Verified by Experts

The correct Answer is:
D
(d) We know that `vectau = vecrxxvecF`
The angle between `vectau`
and `vecr`is `90^@` and the
angle between `taur` and
`vecF` is also `90^@.` we also
know that the dot product of two vectors
which have an angle of
`90^@` between them is zero. Therefore (d) is the correct option.
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