A force F⃗ = 5î + 6ĵ - 4k̂ acting on a bod

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A force $\vec F = 5\hat i + 6\hat j - 4\hat k$ acting on a body, produces a displacement $\vec s = 6\vec i + 5\vec k.$ Work done by the force is......$ units$

A

$18$

B

$15$

C

$12 $

D

$10 $

A force $\vec F = 5\hat i + 6\hat j - 4\hat k$ acting on a body, produces a displacement $\vec s = 6\vec i + 5\vec k.$ Work done by the force is......$ units$

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