Question

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

Answer 1

`1`

Explanation:

The distance between `(x_1, y_1, z_1) = (0, 4, -2)` and `(x_2, y_2, z_2) = (-1, 4, -2)` is given by the distance formula:

`d = sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2`

`sqrt((-1-0)^2+(4-4)^2+(-2-(-2))^2))`

`= sqrt(1+0+0)`

`= sqrt(1) = 1`

Alternatively, simply notice that the `y` and `z` coordinates of the two points is identical, so the points only differ in the `x` coordinate and the distance between the points is just the absolute change in the `x` coordinate, namely `1`.