First slide

Scalars and Vectors

Question

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

Easy

A

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

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

$\hat{i} + \hat{j}$
D

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

Solution

$\begin{array}{l} Displacement vector \vec{r} = Δ x \hat{i} + Δ y \hat{j} + Δ z \hat{k} \\ = (3 - 2) \hat{i} + (4 - 3) \hat{j} + (5 - 5) \hat{k} = \hat{i} + \hat{j} \end{array}$

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