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The position vector of a particle is vec...

The position vector of a particle is `vec( r ) = ( 3 hat( i ) + 4 hat( j ))` metre and its angular velocity ` vec( omega) =(hat( j)+ 2hat( k )) rad s^(-1)` then its linear velocity is ( in `ms^(-1)`)

A

`- ( 8hat( i ) - 6 hat( j ) + 3 hat( k ))`

B

` ( 3hat( i ) + 6 hat( j ) + 8 hat( k ))`

C

` -( 3hat( i ) + 6 hat( j ) + 6 hat( k ))`

D

` ( 6hat( i ) + 8 hat( j ) + 3 hat( k ))`

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The correct Answer is:
A
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