A particle moves from position \( 3 \hat{i}+2 \hat{j}-6 \hat{k} \) to \( 14 \hat{i}+13 \hat{j}+9...

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A particle moves from position \( 3 \hat{i}+2 \hat{j}-6 \hat{k} \) to \( 14 \hat{i}+13 \hat{j}+9 \hat{k} \) due to a uniform force of \( (4 \hat{i}+\hat{j}+3 \hat{k}) N \). If the displacement in \( m \) then work done will be
[CMEET 1995; Pb. PMT 2002, 03; AMU (Engg.) 2009]
(a) \( 100 \mathrm{~J} \)
(b) \( 200 \mathrm{~J} \)
(c) \( 300 \mathrm{~J} \)
(d) \( 250 \mathrm{~J} \)
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