First slide

Scalars and Vectors

Question

If $\frac{| a + b |}{| a - b |} = 1$ , then angle between a and b is

Moderate

A

$0 °$
B

$45 °$
C

$90 °$
D

$60 °$

Solution

$\frac{| a + b |}{| a - b |} = 1$
$| a + b | = | a - b |$
$a^{2} + b^{2} + 2 a b \cos θ = a^{2} + b^{2} - 2 a b \cos θ$
$\cos θ = 0 °$
$θ = 90 °$

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