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Question

The work done by a force F=3^i4^j+5^k displaces the body from a point (3,4,6) to a point (7,2,5) is:

A
15 units
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B
25 units
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C
20 units
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D
10 units
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Solution

The correct option is A 15 units
F=3^i+9^j+5^k
displacement vector b=(73)^i+(24)^j+(56)^k
d=4^i2^j^k
so work W=F.d=3(4)+(4)(2)+5(1)
or W=12+85=15 unit

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