Question

What is the distance between `(–10, –2, 2)` and `(–2, 2, 6)`?

Answer 1

`color(indigo)("Distance between the two points" = 9.8 " units"`

Explanation:

`(x_1, y_1,z_1) = (-10, -2, 2), (x_2, y_2, z_2) = (-2, 2, 6)`

`color(crimson)(d = sqrt((x_2 - 1)^2 + (y_2 - y_1)^2 + (z_2-z_1)^2)`

`d = sqrt((-2 + 10)^2 + (2+2)^2 + (6-2)^2)`

`d = sqrt (8^2 + 4^2 + 4^2) = sqrt 96`

`color(indigo)("Distance between the two points " d = 9.8 " units"`