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A force (vecF) = 3 hati + c hatj + 2 hat...

A force `(vecF) = 3 hati + c hatj + 2 hatk` acting on a partical causes a displacement: `(vecs) = - 4 hati + 2 hatj + 3 hatk` in its own direction . If the work done is `6 j`, then the value of `c` is

A

0

B

1

C

6

D

12

Text Solution

Verified by Experts

`W = (3 hati + c hatj + 2 hatk) . (- 4 hati + 2 hatj + 3 hatk) = 6` joule
`W = - 12 + 2c + 6 = 6 implies c = 6`
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