What is the distance between $(9, 2, 0)$ and $(3, 6, 2)$ ?

Question

1430 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-20T21:05:31

The distance between the two points is $sqrt(56)$ or $7.483$ rounded to the nearest thousandth.

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:

$d = sqrt((color(red)(3) - color(blue)(9))^2 + (color(red)(6) - color(blue)(2))^2 + (color(red)(2) - color(blue)(0))^2)$

$d = sqrt((-6)^2 + 4^2 + 2^2)$

$d = sqrt(36 + 16 + 4)$

$d = sqrt(56) = 7.483$ rounded to the nearest thousandth.

What is the distance between (9, 2, 0) (9, 2, 0) and (3, 6, 2) (3, 6, 2) ?