Find the magnitude of v. $\mathbf { v } = ( 1 , - 3,6 )$
A) $\| \mathbf { v } \|$ = $\sqrt { 2.72 }$
B) $\| \mathbf { v } \|$ = $4 \sqrt { 3 }$
C) $\| \mathbf { v } \|$ = $\sqrt { 46 }$
D) $\| \mathbf { v } \|$ = $3 \sqrt { 5 }$
E) $\| \mathbf { v } \|$ = $3 \sqrt { 2 }$

Question

Find the magnitude of v.  $\mathbf { v } = ( 1 , - 3,6 )$ 
A) $\| \mathbf { v } \|$ = $\sqrt { 2.72 }$
B) $\| \mathbf { v } \|$ = $4 \sqrt { 3 }$
C) $\| \mathbf { v } \|$ = $\sqrt { 46 }$
D) $\| \mathbf { v } \|$ = $3 \sqrt { 5 }$
E) $\| \mathbf { v } \|$ = $3 \sqrt { 2 }$

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 $\mathbf{v} = (1, -3, 6)$, the magnitude is $\sqrt{1^2 + (-3)^2 + 6^2} = \sqrt{1 + 9 + 36} = \sqrt{46}$.

Find the Magnitude of V v=(1,−3,6)\mathbf { v } = ( 1 , - 3,6 )v=(1,−3,6)

Find the Magnitude of V $\mathbf { v } = ( 1 , - 3,6 )$