First slide

Vectors

Question

If $\vec{A} \times \vec{B} = \vec{B} \times \vec{A}$ then the angle between A and B is

Moderate

A

$\frac{π}{2}$
B

$\frac{π}{3}$
C

$π$
D

$\frac{π}{4}$

Solution

We know that $\vec{A} \times \vec{B} = - (\vec{B} \times \vec{A})$ because the angle between these two is always $90^{0}$ . But if the angle between $\vec{A} and \vec{B}$ is 0 or $π$ . Then $\vec{A} \times \vec{B} = \vec{B} \times \vec{A} = 0$

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