Question

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

Answer 1

`6`

Explanation:

The distance between two points `(x_1, y_1, z_1)` and `(x_2, y_2, z_2)` is given by the formula:

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

In our example, putting `(x_1, y_1, z_1) = (-2, 1, 3)` and `(x_2, y_2, z_2) = (2, -3, 1)`, we find distance:

`d = sqrt((2-(-2))^2+(-3-1)^2+(1-3)^2)`

`color(white)(d) = sqrt(4^2+4^2+2^2) = sqrt(36) = 6`