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Q.

Work done by a force F=i^+2j^+3k^ acting on a particle in displacing it from the point r1=i^+j^+k^ to the point r2=i^-j^+2k^ is: 

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a

3 J 

b

zero 

c

-1 J 

d

2 J

answer is C.

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Detailed Solution

W=F·S=F·r2-r1 =i^+2j^+3k^·i^-j^+2k^-i^+j^+k^ =i^+2j^+3k^·-2j^+k^ =-4+3 =-1 J

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Work done by a force F→=i^+2j^+3k^ acting on a particle in displacing it from the point r1→=i^+j^+k^ to the point r2→=i^-j^+2k^ is: