A force F = 5î + 6ĵ + 4k̂ acting on a body

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A force $\overrightarrow {\rm{F}} = 5\hat i + 6\hat j + 4\hat k$ acting on a body, produces a displacement $\overrightarrow {\rm{S}} = 6\hat i - 5\hat k.$Work done by the force is

A

$10$

B

$18$

C

$11$

D

$5 $

A force $\overrightarrow {\rm{F}} = 5\hat i + 6\hat j + 4\hat k$ acting on a body, produces a displacement $\overrightarrow {\rm{S}} = 6\hat i - 5\hat k.$Work done by the force is

$W = \bar F.\bar s = (5\hat i + 6\hat j + 4\hat k)(6\hat i - 5\hat k) = 30 - 20 = 10J$