$\text { Find the distance between points } P _ { 1 } \text { and } P _ { 2 } \text {. }$
-$\mathrm { P } _ { 1 } ( 7 , - 2,5 )$ and $\mathrm { P } _ { 2 } ( 10 , - 6,0 )$
A) 10
B) 25
C) $5 \sqrt { 2 }$
D) 50

Question

Quizplus · Accepted Answer

The distance between two points in three-dimensional space is given by the formula:
$$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}$$
Plugging in the values, we get:
$$d=\sqrt{(10-7)^2+(-6+2)^2+(0-(-5))^2}$$
Simplifying,
$$d=\sqrt{3^2+(-4)^2+5^2}$$
$$d=\sqrt{9+16+25}$$
$$d=\sqrt{50}=5\sqrt{2}$$
So, the answer is C.

Find the distance between points P1 and P2. \text { Find the distance between points } P _ { 1 } \text { and } P _ { 2 } \text {. } Find the distance between points P1​ and P2​.

$\text { Find the distance between points } P _ { 1 } \text { and } P _ { 2 } \text {. }$