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

Question

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v} = \langle x, y, z \rangle$ is given by $\sqrt{x^2 + y^2 + z^2}$. For $\mathbf{v} = \langle 0, -4, -4 \rangle$, the magnitude is $\sqrt{0^2 + (-4)^2 + (-4)^2} = \sqrt{0 + 16 + 16} = \sqrt{32} = 4\sqrt{2}$.

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

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