Problem

Find $$\mathbf{a}+\mathbf{b}, 2 \mathbf{a}+3 \mat…

01:24

Problem 17 Easy Difficulty

Find $$\mathbf{a}+\mathbf{b}, 2 \mathbf{a}+3 \mathbf{b},|\mathbf{a}|, and |\mathbf{a}-\mathbf{b}|$$
$$\mathbf{a}=[1,2,-3], \quad \mathbf{b}=[-2,-1,5]$$

Answer

$a+b=[-1,1,2]$
$2 a+3 b=[-4,1,9]$
$|a|=\sqrt{1^{2}+2^{2}+(-3)^{2}}=\sqrt{14}$
$|a-b|=\sqrt{3^{2}+3^{2}+(-8)^{2}}=\sqrt{82}$

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Chapter 8

Vectors and Matrix Models

Section 2

Vectors

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