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Two forces hati+hatj+hatk N and hati+2ha...

Two forces `hati+hatj+hatk N` and `hati+2hatj+3hatk N` act on a particle and displace it from (2,3,4) to point (5,4,3). Displacement is in m. work done is

A

5J

B

4J

C

3J

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
1

`vec(F)=vec(F)_(1)+vec(F)_(2)=2hati+3hatj+4hatk N`
`& vec(d)=(5hati+4hatj+3hatk)-(2hati+3hatj+4hatk)`
`3hati+hatj-hatk m`
`:. W=vec(F).vec(d) =(2hati+3hatj+4hatk).(3hati+hatj-hatk)`
=6+3-4=5J
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