Question

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

Answer 1

`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`