A force \( \bar{F}=2 \hat{i}+3 \hat{j}-4 \hat{k} N \) acts on a particle which is constrained to...

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A force \( \bar{F}=2 \hat{i}+3 \hat{j}-4 \hat{k} N \) acts on a particle which is constrained to move in the \( X O Y \) plane along the line \( x=y \). If the particle moves \( 5 \sqrt{2} \mathrm{~m} \), the work done by force in joule is
a. \( 25 \sqrt{2} \)
b. \( 25 \sqrt{58} \)
c. math xmlns=http://www.w3.org/1998/Math/MathMLmn25/mn/math
d. math xmlns=http://www.w3.org/1998/Math/MathMLmn10/mn/math
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