First slide

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 :

Moderate

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

$F = Fcos 45^{0} \hat{i} + Fsin 45^{0} (- \hat{j})$
$\Rightarrow \vec{F} = 50 \sqrt{2} \hat{i} - 50 \sqrt{2} \hat{j}$

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