Solve the problem.
-If $\mathbf { v } = 9 \mathbf { i } + 3 \mathbf { j }$, what is $\| 8 \mathbf { v } \|$ ?
A) $48 \mathrm { i } \sqrt { 2 }$
B) $24 \sqrt { 10 }$
C) $- 24 \sqrt { 10 }$
D) $48 \sqrt { 2 }$

Question

Quizplus · Accepted Answer

First, find $8\mathbf{v} = 8(9\mathbf{i} + 3\mathbf{j}) = 72\mathbf{i} + 24\mathbf{j}$. Then, calculate the magnitude $\|8\mathbf{v}\| = \sqrt{72^2 + 24^2} = \sqrt{5184 + 576} = \sqrt{5760} = 24\sqrt{10}$.

Solve the Problem v=9i+3j\mathbf { v } = 9 \mathbf { i } + 3 \mathbf { j }v=9i+3j

Solve the Problem $\mathbf { v } = 9 \mathbf { i } + 3 \mathbf { j }$