What is the distance between (2, –3, 1) and (0, 4, –2) ?

1 Answer
Mar 20, 2018

\sqrt{62}

Explanation:

Use this Distance Formula for 3D points (which is basically taken from the Pythagorean Theorem -- which I encourage you to see why).

\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2}

Plug the points into the formula.
\sqrt{(2-0)^2 + (-3-4)^2 + (1-(-2))}
= \sqrt{2^2 + (-7)^2 +(3)^2}
=\sqrt{4 + 49 + 9}
= \sqrt{62}