Question

Can a vector have zero component along a line and still have non-zero magnitude?

• A. True
• B. False
• C. Can't say
• D. Only if the vector is 2d

Answer 1

The correct option is A

True

So we have to make

$|\overrightarrow{A}|$ $Cos\theta$ = 0

Where $|\overrightarrow{A}|$ cannot be 0

So $cos\theta$ has to be 0

$\Rightarrow \theta ={90}^{\circ }$

So when vector $\overrightarrow{A}$ is perpendicular to the other $\overrightarrow{B}$, the projection of one over the other is zero even if $|\overrightarrow{A}|$ is non-zero.