First slide

Vectors

Question

If A and B are two vectors and if A x B = B x A, then angle between A and B is

Moderate

A

$π$
B

$π / 3$
C

$π / 2$
D

$π / 4$

Solution

We know that
$A \times B = (ABsin θ) n$
and $B \times A = (ABsin θ) (- n)$
When $θ = π, \sin θ = \sin π = 0$ , then
A x B=B x A
So, angle between A and B is $π$ .

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