# What is || <-8, 3, -1> - < 4 , -5, 3 > ||?

Apr 22, 2018

$4 \sqrt{14}$

#### Explanation:

$| | < - 8 , 3 , - 1 \succ < 4 , - 5 , 3 > | |$

$= | | < - 8 - 4 , 3 - - 5 , - 1 - 3 > | |$

$= | | < - 12 , 8 , - 4 > | |$

$= \sqrt{{12}^{2} + {8}^{2} + {4}^{2}}$

$= \sqrt{144 + 64 + 16}$

$= \sqrt{224}$

$= 4 \sqrt{14}$
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