First slide

Scalars and Vectors

Question

If $a$ and $b$ are two vectors, then the value of $(a + b) \times (a - b)$ is

Moderate

A

$2 (b \times a)$
B

$- 2 (b \times a)$
C

$b \times a$
D

$a \times b$

Solution

$(a + b) \times (a - b)$
$= a \times a - a \times b + b \times a - b \times b$
$= 2 (b \times a)$

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