Find the magnitude of v. $\mathbf { v } = ( - 1,0,3 )$
A) $\| \mathbf { v } \|$ = $\sqrt { 2 }$
B) $\| \mathbf { v } \|$ = $\sqrt { 4.72 }$
C) $\| \mathbf { v } \|$ = $\sqrt { 10 }$
D) $\| \mathbf { v } \|$ = $\sqrt { 2.72 }$
E) $\| \mathbf { v } \|$ = $2 \sqrt { 3 }$

Question

Find the magnitude of v.  $\mathbf { v } = ( - 1,0,3 )$ 
A) $\| \mathbf { v } \|$ = $\sqrt { 2 }$
B) $\| \mathbf { v } \|$ = $\sqrt { 4.72 }$
C) $\| \mathbf { v } \|$ = $\sqrt { 10 }$
D) $\| \mathbf { v } \|$ = $\sqrt { 2.72 }$
E) $\| \mathbf { v } \|$ = $2 \sqrt { 3 }$

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf { v } = (a, b, c)$ is given by $\sqrt{a^2 + b^2 + c^2}$. For $\mathbf { v } = (-1, 0, 3)$, the magnitude is $\sqrt{(-1)^2 + 0^2 + 3^2} = \sqrt{1 + 0 + 9} = \sqrt{10}$.

Find the Magnitude of V v=(−1,0,3)\mathbf { v } = ( - 1,0,3 )v=(−1,0,3)

Find the Magnitude of V $\mathbf { v } = ( - 1,0,3 )$