First slide

Vectors

Question

Find the angle between the vectors $\hat{i} + \hat{j}$ and - $\hat{j}$

Moderate

A

90⁰
B

120⁰
C

135⁰
D

180⁰

Solution

$(\hat{i} + \hat{j}) (- \hat{j}) = - 1$
$|\hat{i} + \hat{j}| |- \hat{j}| \cos θ = - 1 \sqrt{2} \cos θ = - 1 \cos θ = - \frac{1}{\sqrt{2}} θ = 135^{o}$

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