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A particle is moving with speed 6m//s al...

A particle is moving with speed `6m//s` along the direction of `vec(A)=2hat(i)+2hat(j)-hat(k)`, then its velocity is `:`

A

`(4hat(i)+2hat(j)-4hat(k))` units

B

`(4hat(i)+4hat(j)-2hat(k))` units

C

`(4hat(i)+4hat(j)-4hat(k))` units

D

`(2hat(i)+4hat(j)-2hat(k))` units

Text Solution

Verified by Experts

The correct Answer is:
B
Velocity =(speed) `hat(A)`
`=6((2hat(i)+2hat(j)-hat(k)))/(sqrt(4+4+1))=(4hat(i)+4hat(j)-2hat(k))`units.
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