Find the magnitude of the vector v described below. Initial point: (-4,-3,3)
Terminal point: (8,2,-6)
A) $5 \sqrt { 10 }$
B)26
C) $10 \sqrt { 10 }$
D)0
E) $\sqrt { 26 }$

Question

Quizplus · Accepted Answer

The magnitude of a vector with initial point $(x_1, y_1, z_1)$ and terminal point $(x_2, y_2, z_2)$ is calculated using the formula $\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2-z_1)^2}$. Substituting the given points, we get $\sqrt{(8+4)^2 + (2+3)^2 + (-6-3)^2} = \sqrt{12^2 + 5^2 + (-9)^2} = \sqrt{144 + 25 + 81} = \sqrt{250} = 5\sqrt{10}$.

Find the Magnitude of the Vector V Described Below 5105 \sqrt { 10 }510​

Find the Magnitude of the Vector V Described Below $5 \sqrt { 10 }$