A force of 2î + 3ĵ + 4k̂ Nacts on a body f

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A force of $2\hat i + 3\hat j + 4\hat k\;N$acts on a body for $4$ second, produces a displacement of $(3\hat i + 4\hat j + 5\hat k)m.$The power used is.......$W$

A

$9.5$

B

$7.5$

C

$6.5$

D

$4.5$

A force of $2\hat i + 3\hat j + 4\hat k\;N$acts on a body for $4$ second, produces a displacement of $(3\hat i + 4\hat j + 5\hat k)m.$The power used is.......$W$

$P = \frac{{\overrightarrow F .\overrightarrow s }}{t} = \frac{{(2\hat i + 3\hat j + 4\hat k).(3\hat i + 4\hat j + 5\hat k)}}{4}$$ = \frac{{38}}{4} = 9.5\;W$