A force F = (5î + 4ĵ) N acts on a body and

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A force $\overrightarrow F = (5\hat i + 4\hat j)$ $N $ acts on a body and produces a displacement $\overrightarrow S = (6\hat i - 5\hat j + 3\hat k)$ $m$ . The work done will be......$J$

A

$10 $

B

$20 $

C

$30$

D

$40 $

A force $\overrightarrow F = (5\hat i + 4\hat j)$ $N $ acts on a body and produces a displacement $\overrightarrow S = (6\hat i - 5\hat j + 3\hat k)$ $m$ . The work done will be......$J$

$W = \overrightarrow F .\overrightarrow s = (5\hat i + 4\hat j).(6\hat i - 5\hat j + 3\hat k)$$ = 30 - 20 = 10\,J$