First slide

Scalars and Vectors

Question

A person pushes a box kept on a horizontal surface with force of 100 N. In unit vector notation force can be expressed as

Easy

A

$100 (\hat{i} + \hat{j})$
B

$100 (\hat{i} - \hat{j})$
C

$50 \sqrt{2} (\hat{i} - \hat{j})$
D

$50 \sqrt{2} (\hat{i} + \hat{j})$

Solution

$\begin{array}{l} \vec{F} = F \cos 45^{\circ} \hat{i} + F \sin 45^{\circ} (- \hat{j}) \\ \Rightarrow \vec{F} = 50 \sqrt{2} \hat{i} - 50 \sqrt{2} \hat{j} N \end{array}$

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