First slide

Scalars and Vectors

Question

Two vector $\vec{A} and \vec{B}$ have equal magnitudes. Then the vector $\vec{A} + \vec{B}$ is perpendicular to

Moderate

A

$\vec{A} \times \vec{B}$
B

$\vec{A} - \vec{B}$
C

$3 \vec{A} - 3 \vec{B}$
D

$A l l o f t h e s e$

Solution

$\vec{A} \times \vec{B}$ is a vector perpendicular to plane $\vec{A} + \vec{B}$ and hence also perpendicular to $\vec{A} + \vec{B}$ .

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