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A force vec(F)=3hat(i)+ c hat(j)+2hat(k)...

A force `vec(F)=3hat(i)+ c hat(j)+2hat(k)` acting on a particle causes a displacement `vec(S)=(2hat(i)-3hat(j)+4hat(k))` in its own direction. If the work done is 8J, then the value of c is

A

0

B

6

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
`[W=vec(F).vec(S)=(3vec(i)+c vec(j)+2 vec(k))-(2vec(i)-3vec(j)+4 vec(k))`
`=6-3c+8=8,c=(6)/(3)=2]`
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