A force \( \vec{F}=(2 \hat{i}+3 \hat{j}+2 \hat{k}) \mathrm{N} \) acts on a particle of mass \( m....

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A force \( \vec{F}=(2 \hat{i}+3 \hat{j}+2 \hat{k}) \mathrm{N} \) acts on a particle of mass \( m \). The particle starts from points \( A(1,2,1) \) and moves to point \( B(3,4,3) \). What is the total work done
\( \mathrm{P} \)
by the force on the particle?
(1) \( 14 \mathrm{~J} \)
(2) \( 12 \mathrm{~J} \)
(3) \( 16 \mathrm{~J} \)
(4) \( 10 \mathrm{~J} \)


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