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For a body, angular velocity vecomega= h...

For a body, angular velocity `vecomega= hati-2hatj+3hatk` and radius vector `vecr=hati+hatj+hatk`, then its velocity `(vecv= vecomega xx vecr)` is :

A

`-5hati + 2hatj+3hatk`

B

`-5hati+2hatj-3hatk`

C

`-5hati-2hatj +3hatk`

D

`-5hati-2hatj-3hatk`

Text Solution

Verified by Experts

The correct Answer is:
1
`vecv= vecomegaxx vecr`
`vec v= |{:(hati,,hatj,,hatk),(1,,-2,,3),(1,,1,,1):}|=hati(-2-3)- hatj(1-3)+hatk(1+2)`
`= -5hati+2hatj+3hatk`
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