Question

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

Answer 1

`\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}`