1.

What is the torque of a force 3hati+7hatj+4hatk about the origin, if the force acts on a particle whose position vector is

Answer»

`hati - 5hatj + 8 hatk`
`2hati + 2hatj + 2hatk`
`hati + HATJ + hatk`
`3hati + 2hatj + 3hatk`

Solution :Here , `VECR = 2 hati + 2hatj + 1 hatk , VECF = 3 hati + 7 hatj + 4HATK`
Torque , `vectau = vecr xx vecF`
`r = |{:(hati , hatj , hatk) , (2 , 2 , 1) , (3, 7 , 4):}| = hati(8-7) - hatj (8-3) + hatk (14 - 6) = hati - 5hatj + 8hatk`


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