First slide

Vectors

Question

Angle between the vectors $(\hat{i} + \hat{j}) and (\hat{j} - \hat{k})$ is

Moderate

A

$90^{0}$
B

$0^{0}$
C

$180^{0}$
D

$60^{0}$

Solution

$cosθ = \frac{\vec{A} . \vec{B}}{| \vec{A} | | \vec{B} |} = \frac{1}{\sqrt{2} \sqrt{2}} = \frac{1}{2} ∴ θ = 60^{0}$

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