First slide

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

In XY-plane, vector is $3 \hat{i} + \hat{j}$
$∴$ Length in XY-plane $= \sqrt{9 + 1} = \sqrt{10}$

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