Question

Can a vector have a component equal to zero and still have nonzero magnitude? Explain.

Short answer

Yes, a vector can have a given component along a line and still can have non-zero magnitude.

Step-by-step solution

Step 1. Given information

We need to write can a vector have a component equal to zero and still have a non-zero magnitude. We need to explain it.

Step 2. Explanation

Thus, ${\overrightarrow{A}}_x=0,and{\overrightarrow{A}}_y=\left|\overrightarrow{A}\right|.$

$\left[\overrightarrow{A}\right]=\sqrt{A_x^2+A_y^2}.$

$=\sqrt{A_y^2}.$

$A_y.$

Thus, a vector can have a given component along a line and still can have non-zero magnitude.