An object is displaced from position vector →r1=(2^i+3^j)m to →r2=(4^i+6^j)m under the action of a force →F=(3x2^i+2y^j)N. Find the work done by this force.
A
69J
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B
76J
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C
97J
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D
83J
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Solution
The correct option is D83J W=∫→r1→r1→F⋅→dr=∫→r2→r1(3x2^i+2y^j)⋅(dx^i+dy^j+dz^k)