Question

The vector product of two non zero vectors $a$ and $b$, is denoted by $a \times b$ and is equal to

• A. $| a || b | \cos \theta$
• B. $| a | b \mid \sin \theta \hat{ n }$
• C. $| a || b | \cos \theta \hat{ n }$
• D. None of these

Answer 1

Answer: (B)

The vector product of two non-zero vectors $a$ and $b$, is denoted by $a , b$ and defined as
$a \times b=|a||b| \sin \theta \hat{n}$
where, $\theta$ is the angle between $a$ and b, $0 \leq \theta \leq \pi$ and $\hat{n}$ is a unit vector perpendicular to both $a$ and $b$, such that $a , b$ and $\hat{n}$ form a right handed system i.e., the right handed system rotated from $a$ to $b$ moves in the direction of $\hat{n}$