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What is the value of linear velocity, if...

What is the value of linear velocity, if `vecomega=3hati-4hatj+hatk` and `vecr=5hati-6hatj+6hatk`?

A

`6hati+2hatj-3hatk`

B

`18hati+3hatj-2hatk`

C

`-18hati-13hatj+2hatk`

D

`6hati-2hatj+8hatk`

Text Solution

Verified by Experts

The correct Answer is:
c
Here, `vecomega=3hati-4hatj+hatk`
`vecr=5hati-6hatj+6hatk`
As `vecv=vecomega xx vecr = |{:[hati, hatj, hatk],[3,-4,1],[5,-6,6]:}|`
`=hati(-24-(-6))+hatj(5-18)+hatk(-18-(-20))`
`=-18hati-13hatj+2hatk`
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