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CGP EDU Academic Team
Published on: September 11, 2026
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 \(\left(4\hat{i} + \hat{j} + 3\hat{k}\right) \mathrm{N}.\) If the displacement in meters then work done will be
Text Solution
Verified by ExpertsThe correct answer is:
A
\(\mathbf{S} = \vec{r}_2 - \vec{r}_1\)
\(W = \vec{F} \cdot \vec{S}\) \(= (4\hat{i} + \hat{j} + 3\hat{k}) \cdot (11\hat{i} + \hat{j} + 15\hat{k})\)
\(= (4 \times 11 + 1 \times 11 + 3 \times 15) = 100 J.\)
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