Solve the problem.
-If $\mathbf { v } = - 3 \mathrm { i } + 2 \mathrm { j }$, find $\| v \|$.
A) $\sqrt { 5 }$
B) 5
C) 13
D) $\sqrt { 13 }$

Name: Solve the problem. -If $\mathbf { v } = - 3 \mathrm { i } + 2 \mathrm { j }$, find $\| v \|$. A) $\sqrt { 5 }$ B) 5 C) 13 D) $\sqrt { 13 }$
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Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v} = a\mathbf{i} + b\mathbf{j}$ is given by $\|v\| = \sqrt{a^2 + b^2}$. For $\mathbf{v} = -3\mathbf{i} + 2\mathbf{j}$, $\|v\| = \sqrt{(-3)^2 + 2^2} = \sqrt{9 + 4} = \sqrt{13}$.

Solve the Problem v=−3i+2j\mathbf { v } = - 3 \mathrm { i } + 2 \mathrm { j }v=−3i+2j

Solve the Problem $\mathbf { v } = - 3 \mathrm { i } + 2 \mathrm { j }$