What is the distance between $(-2,1,-3)$ and $(15,-13,-18)$ ?

Question

1443 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-21T04:16:37

$color(green)("Distance " d ~~ 26.61 " units"$

$(x_1, y_1,z_1) = (-2, 1, -3), (x_2, y_2, z_2) = (15, -13, -18)$

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

$d = sqrt((15+2)^2 + (-13-1)^2 + (-18+3)^2)$

$d = sqrt(17^2 + 14^2 + 15^2) = sqrt(708$

$color(green)("Distance " d ~~ 26.61 " units"$

What is the distance between (-2,1,-3)(-2,1,-3) and (15,-13,-18)(15,-13,-18)?