Question

What is the set of all position vectors in $R^2$of magnitude 5 ?

Short answer

• All position vectors in $R^2$ with magnitude 5 are those whose terminal points are on a circle with radius 5 and Centre at the origin.

Step-by-step solution

Introduction

• Consider all the position vectors in $R^2$with magnitude 5 .
• The target is to find the set of all the position vectors in $R^2$ with magnitude 5.

Given Information

• Consider the graph below:

• The graph depicts a vector with a magnitude of 5.

Explanation

• All position vectors in $R^2$with magnitude 5 are those whose terminal points are on a circle with radius 5 and Centre at the origin.