If a particle moves from point \(\mathbf{P}(2,3,5)\) to poi…

Physics Vectors Fundamentals of Vectors Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

If a particle moves from point \(\mathbf{P}(2,3,5)\) to point Q(3,4,5) . Its displacement vector be

\hat{i} + \hat{j} + 10 \hat{k}

\hat{i} + \hat{j} + 5 \hat{k}

\hat{i} + \hat{j}

2\hat{i} + 4\hat{j} + 6\hat{k}

Text Solution

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The correct answer is:

Displacement vector \(\mathbf{r}' = \Delta x \hat{\mathbf{i}} + \Delta y \hat{\mathbf{j}} + \Delta z \hat{\mathbf{k}}\)

= (3 - 2)\hat{i} + (4 - 3)\hat{j} + (5 - 5)\hat{k} = \hat{i} + \hat{j}

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