First slide

Vectors

Question

Given that A + B = R and A = B = R. what should be the angle between A and B ?

Easy

A

0
B

$π / 4$
C

$2 π / 3$
D

$π$

Solution

$R^{2} = [A^{2} + B^{2} + 2 ABcos θ]$
$R^{2} = R^{2} + R^{2} + 2 R^{2} \cos θ - R^{2} = 2 R^{2} \cos θ or \cos θ = - 1 / 2 or θ = 2 π / 3$

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