If a point has coordinates $(x,y)$, then its position vector from the …

Question

If a point has coordinates $(x,y)$, then its position vector from the origin is

![](https://qallery.app/diagrams/v2_91ca62eb8d92/img-003.jpeg)

Accepted Answer

C. $\vec r = x\hat{i} + y\hat{j}$

For a point $P(x,y)$, the notes give the position vector as $\vec r = x\hat{i} + y\hat{j}$. Its magnitude is $|\vec r| = \sqrt{x^2+y^2}$, not the vector form in option D.

Answer

$\vec r = x\hat{i} - y\hat{j}$

Answer

$\vec r = y\hat{i} + x\hat{j}$

Answer

$\vec r = \sqrt{x^2+y^2}\,(\hat{i}+\hat{j})$