Q. 20 - Calculus

Question

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

Step-by-Step Solution

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 1: 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.

Step 2: Given Information

• Consider the graph below:

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

Step 3: 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.