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Chapter 10: Q. 21 (page 801)

What is the set of all position vectors in \(R^3\) of magnitude \(5\)?

Short Answer

Expert verified

It is the set of all the position vectors whose terminal points are on the sphere with a radius of \(5\) and a center at the origin.

Step by step solution

01

Step 1. Given Information

All position vectors in \(R^3\) with magnitude \(5\).

02

Step 2. Find the set of position vectors

Consider the following graph

The graph shows the vector with a magnitude of \(5\).

The set of all position vectors in \(R^3\) with magnitude \(5\) is the set of all the position vectors whose terminal points are on the sphere with radius \(5\) and center at the origin.

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