Find the magnitude of v. $\mathbf { v } = ( - 4,0 , - 7 )$
A) $\| \mathbf { v } \|$ = $\sqrt { 4.72 }$
B) $\| \mathbf { v } \|$ = $\sqrt { 65 }$
C) $\| \mathbf { v } \|$ = $\sqrt { 67 }$
D) $\| \mathbf { v } \|$ = $4 \sqrt { 2 }$
E) $\| \mathbf { v } \|$ = $\sqrt { 2.72 }$

Question

Find the magnitude of v.  $\mathbf { v } = ( - 4,0 , - 7 )$ 
A) $\| \mathbf { v } \|$ = $\sqrt { 4.72 }$
B) $\| \mathbf { v } \|$ = $\sqrt { 65 }$
C) $\| \mathbf { v } \|$ = $\sqrt { 67 }$
D) $\| \mathbf { v } \|$ = $4 \sqrt { 2 }$
E) $\| \mathbf { v } \|$ = $\sqrt { 2.72 }$

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v} = (x, y, z)$ is given by $\|\mathbf{v}\| = \sqrt{x^2 + y^2 + z^2}$. For $\mathbf{v} = (-4, 0, -7)$, this is $\sqrt{(-4)^2 + 0^2 + (-7)^2} = \sqrt{16 + 49} = \sqrt{65}$.

Find the Magnitude of V v=(−4,0,−7)\mathbf { v } = ( - 4,0 , - 7 )v=(−4,0,−7)

Find the Magnitude of V $\mathbf { v } = ( - 4,0 , - 7 )$