What is the distance between (3, –1, 1) and (–6, 3, 1) ?

1 Answer
Apr 21, 2018

color(maroon)("Distance between A & B " = vec(AB) = 9.85

Explanation:

A (x_1, y_1, z_1) = (3, -1, 1), B (x_2, y_2, z_2) = (-6, 3, 1)

To find the distance between the two points A & B.

"Distance formula " color(blue)(d = sqrt((x_2-v_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2)

d = sqrt((-6-3)^2 + (3+1)^2 + (1-1)^2) = sqrt(9^2 + 4^2)

color(maroon)("Distance between A & B " = vec(AB) = 9.85