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

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Answer 1 · 2018-04-21T04:10:35

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

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

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

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

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

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

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