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, $0\le \theta \le \pi$ 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 $\hat{n}$