First slide

Scalars and Vectors

Question

What is the value of $(A + B) \cdot (A \times B)$ ?

Moderate

A

0
B

$A^{2} - B^{2}$
C

$A^{2} + B^{2} + 2 A B$
D

None of these

Solution

$(A \times B)$ is perpendicular to both A and B or $(A + B)$ and dot product of two perpendicular vectors is zero.

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