Find the magnitude of the vector $\mathbf { v }$.
$$\mathbf { v } = \langle - 7,1 , - 8 \rangle$$
A) $- 14$
B) 16
C) $\sqrt { 14 }$
D) $2 \sqrt { 114 }$
E) $\sqrt { 114 }$

Question

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v}= \langle x,y,z angle$ is given by $\|\mathbf{v}\| = \sqrt{x^2+y^2+z^2}$. Using this formula with $\mathbf{v}=\langle -7,1,-8angle$, we get $\|\mathbf{v}\|=\sqrt{(-7)^2+1^2+(-8)^2}=\sqrt{114}$. Therefore, the answer is $\boxed{	extbf{(E)}}$.

Find the Magnitude of the Vector v\mathbf { v }v v=⟨−7,1,−8⟩\mathbf { v } = \langle - 7,1 , - 8 \ranglev=⟨−7,1,−8⟩

Find the Magnitude of the Vector $\mathbf { v }$ $\mathbf { v } = \langle - 7,1 , - 8 \rangle$