Find the magnitude of the vector $\mathbf { v }$.
$$\mathbf { v } = \langle 7 , - 4,0 \rangle$$
A) 3
B) 11
C) $\sqrt { 3 }$
D) $2 \sqrt { 65 }$
E) $\sqrt { 65 }$

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 $\mathbf{v} = \langle 7, -4, 0 \rangle$, the magnitude is $\sqrt{7^2 + (-4)^2 + 0^2} = \sqrt{49 + 16 + 0} = \sqrt{65}$.

Find the Magnitude of the Vector v\mathbf { v }v v=⟨7,−4,0⟩\mathbf { v } = \langle 7 , - 4,0 \ranglev=⟨7,−4,0⟩

Find the Magnitude of the Vector $\mathbf { v }$ $\mathbf { v } = \langle 7 , - 4,0 \rangle$