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Q.

The work done by a force F=3i^-4j^+5k^ displaces the body from a point (3,4,6) to a point (7,2,5) is

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a

15 units

b

25 units

c

20 units

d

10 units

answer is A.

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Detailed Solution

F=3i^-4j^+5k^

r2=7i^+2j^+5k^

r1=3i^+4j^+6k^

W=F.S=F.r2-r1=3i^-4j^+5k^·4i^-2j^-1k^

=12+8-5=15 units

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The work done by a force F→=3i^-4j^+5k^ displaces the body from a point (3,4,6) to a point (7,2,5) is