Question

What is the distance between `(0, 0, 8)` and `(3, 6, 2)`?

Answer 1

See a solution process below:

Explanation:

The formula for calculating the distance between two points is:

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

Substituting the values from the points in the problem gives:

`d = sqrt((color(red)(3) - color(blue)(0))^2 + (color(red)(6) - color(blue)(0))^2 + (color(red)(2) - color(blue)(8))^2)`

`d = sqrt(3^2 + 6^2 + (-6)^2)`

`d = sqrt(9 + 36 + 36)`

`d = sqrt(81)`

`d = 9`