Question

What happens when you add a vector to a zero vector?

Answer 1

Vector algebra:

A zero vector is a null vector. The zero vector doesn't have any direction and magnitude.

When a vector is added to a zero vector, the answer is the original vector that was added.

Example: $\overrightarrow{A}=2\hat{i}+3\hat{j}-5\hat{k}$

Then,

$\overrightarrow{A}+\overrightarrow{0}=2\hat{i}+3\hat{j}-5\hat{k}+(0\hat{i}+0\hat{j}+0\hat{k})$

$\Rightarrow$ $\overrightarrow{A}+\overrightarrow{0}=2\hat{i}+3\hat{j}-5\hat{k}$

Hence, addition with null vector will return original vector.