First slide

Vectors

Question

$\vec{P} + \vec{Q}$ is a unit vector along x-axis. If $\vec{P} = \hat{i} - \hat{j} + \hat{k}$ , then what is Q?

Moderate

A

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

$\hat{j} - \hat{k}$
C

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

$\hat{j} + \hat{k}$

Solution

Given $\vec{P} + \vec{Q} = \hat{i}$
$\Rightarrow$ $\hat{i} - \hat{j} + \hat{k} + \vec{Q} = i$ $\Rightarrow$ $\vec{Q} = \hat{j} - \hat{k}$

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