A force F⃗ = (5î + 3ĵ + 2k̂)N is applied o

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A force $\vec F = (5\hat i + 3\hat j + 2\hat k)N$ is applied over a particle which displaces it from its origin to the point $\vec r = (2\hat i - \hat j)m$. The work done on the particle in joules is

A

$-7$

B

$+7$

C

$+10$

D

$+13$

A force $\vec F = (5\hat i + 3\hat j + 2\hat k)N$ is applied over a particle which displaces it from its origin to the point $\vec r = (2\hat i - \hat j)m$. The work done on the particle in joules is

$W = \overrightarrow F .\overrightarrow r = (5\hat i + 3\hat j + 2\hat k).(2\hat i - \hat j) = 10 - 3 = 7\,J$