Find the magnitude of the vector $\mathbf { v }$.
$$\mathbf { v } = \langle - 3 , - 3 , - 5 \rangle$$
A) $- 11$
B) 11
C) $\sqrt { 11 }$
D) $2 \sqrt { 43 }$
E) $\sqrt { 43 }$

Question

Quizplus · Accepted Answer

The magnitude of a vector $\mathbf{v}=\langle a,b,c \rangle$ is given by $|\mathbf{v}|=\sqrt{a^2+b^2+c^2}$. Substituting the values from the given vector, we get $|\mathbf{v}|=\sqrt{(-3)^2+(-3)^2+(-5)^2}=\sqrt{9+9+25}=\sqrt{43}$. Therefore, the correct choice is E.

Find the Magnitude of the Vector v\mathbf { v }v v=⟨−3,−3,−5⟩\mathbf { v } = \langle - 3 , - 3 , - 5 \ranglev=⟨−3,−3,−5⟩

Find the Magnitude of the Vector $\mathbf { v }$ $\mathbf { v } = \langle - 3 , - 3 , - 5 \rangle$