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A particle is shifted from \( \mathrm{A} \) to \( \mathrm{B} \) and then from \( \mathrm{B} \) to \( \mathrm{C} \) where \( \mathrm{A}, \mathrm{B} \) and \( \mathrm{C} \) are the midpoints of the corresponding faces of a cube of side \( 2 \mathrm{~m} \). If a force \( \vec{F}=(3 \hat{i}+4 \hat{j}-5 \hat{k}) N \) is continuously acting on the particle, then select correct alternative :-
(A) work done from \( \mathrm{A} \) to \( \mathrm{B} \) is \( 7 \mathrm{~J} \)
(B) work done from \( \mathrm{B} \) to \( \mathrm{C} \) is \( 1 \mathrm{~J} \)
(C) work done \( \mathrm{A} \) to \( \mathrm{C} \) is \( 8 \mathrm{~J} \)
(D) \( \overrightarrow{\mathrm{F}} \) is a conservative force
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