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CGP EDU Academic Team
Published on: September 12, 2026
A force \vec{F} = 3\hat{i} + 4\hat{j} + 2\hat{k} acting on a particle causes a displacement \vec{S} = -4\hat{i} + 2\hat{j} - 3\hat{k} in its own direction. If the work done is 6J, then the value of c will be
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Verified by ExpertsThe correct answer is:
A
\(\mathbf{W} = \vec{\mathbf{F}} \cdot \vec{\mathbf{s}} = (3\hat{i} + c\hat{j} + 2\hat{k}) \cdot (-4\hat{i} + 2\hat{j} - 3\hat{k}) = -12 + 2c - 6\)
Work done = 6J (given)
\(-12 + 2c - 6 = 6 \Rightarrow\) c = 12
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