Find the magnitude of the vector $\mathbf { v }$.
$$\mathbf { v } = \langle - 4,0 , - 8 \rangle$$
A) $- 12$
B) 12
C) $2 \sqrt { 3 }$
D) $8 \sqrt { 5 }$
E) $4 \sqrt { 5 }$

Question

Quizplus · Accepted Answer

By the definition of the magnitude of a vector, we have:
$$\left\| \mathbf{v} \right\|=\sqrt{(-4)^2+0^2+(-8)^2}=\sqrt{16+64}=\sqrt{80}=4\sqrt{5}$$
Therefore, the correct answer is (E).

Find the Magnitude of the Vector v\mathbf { v }v v=⟨−4,0,−8⟩\mathbf { v } = \langle - 4,0 , - 8 \ranglev=⟨−4,0,−8⟩

Find the Magnitude of the Vector $\mathbf { v }$ $\mathbf { v } = \langle - 4,0 , - 8 \rangle$