## Elementary Linear Algebra 7th Edition

Published by Cengage Learning

# Chapter 5 - Inner Product Spaces - 5.1 Length and Dot Product in Rn - 5.1 Exercises - Page 235: 4

#### Answer

The length is $=\sqrt {54}$ units.

#### Work Step by Step

Length$=\sqrt {(2)^{2}+(0)^{2}+(-5)^{2}+(5)^{2}}$ $=\sqrt {4+0+25+25}$ $=\sqrt {54}$, since a length must be greater than zero (cannot be negative) Therefore the length is $=\sqrt {54}$ units.

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