First slide

Scalars and Vectors

Question

A vector is represented by $3 \hat{i} + \hat{j} + 2 \hat{k}$ . Its length in XY plane is

Easy

A

2
B

$\sqrt{14}$
C

$\sqrt{10}$
D

$\sqrt{5}$

Solution

$\begin{array}{l} \vec{R} = 3 \hat{i} + \hat{j} + 2 \hat{k} \\ ∴ Length in X Y plane = \sqrt{R_{x}^{2} + R_{y}^{2}} = \sqrt{3^{2} + 1^{2}} = \sqrt{10} \end{array}$

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