First slide

Vectors

Question

Given that A + B = R and A² + B² = R². The angle between A and B is

Easy

A

0
B

$π / 4$
C

$π / 2$
D

$π$

Solution

$\begin{array}{l} \cos θ = \frac{R^{2} - A^{2} - B^{2}}{2 AB} = \frac{R^{2} - R^{2}}{2 AB} = 0 \\ θ = π / 2 \end{array}$

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