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A force vec F = (5 vec i+ 3 vec j+ 2 vec...

A force `vec F = (5 vec i+ 3 vec j+ 2 vec k) N` is applied over a particle which displaces it from its origin to the point `vec r=(2 vec i- vec j) m`. The work done on the particle in joules is.

A

`+ 10`

B

` + 7`

C

`-7`

D

`+ 13`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `W = vecF . vecS = (5 hati + 3 hatj + 2 hatk) cdot (2hati - hatj) = 10 - 3 7J`.
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