Find the distance between the points. (-8,0,2,), (-3,-8,-7)
A)-24
B) $\sqrt { 170 }$
C) $\sqrt { 22 }$
D)22
E) $2 \sqrt { 170 }$

Question

Quizplus · Accepted Answer

The distance between two points $(x_1, y_1, z_1)$ and $(x_2, y_2, z_2)$ in 3D space is given by the formula $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}$. Plugging in the given points (-8,0,2) and (-3,-8,-7), we get $\sqrt{(-3 + 8)^2 + (-8 - 0)^2 + (-7 - 2)^2} = \sqrt{5^2 + (-8)^2 + (-9)^2} = \sqrt{25 + 64 + 81} = \sqrt{170}$.

Find the Distance Between the Points 170\sqrt { 170 }170​ C) 22\sqrt { 22 }22​

Find the Distance Between the Points $\sqrt { 170 }$ C) $\sqrt { 22 }$