What is the distance between $(–3, 2, –3)$ and $(0, 4, –2)$ ?

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Answer 1 · 2018-04-21T04:26:21

$color(violet)("Distance " d = sqrt 14 ~~ 3.74 " units"$

$"Distance formula " d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2)$

$"Given : " (x_1, y_1, z_1) = (-3, 2, -3), (x_2, y_2, z_2) = (0, 4, -2)$

$d = sqrt ((0+3)^2 + (4-2)^2 + (-2+3)^2) = sqrt (9 + 4 + 1)$

$color(violet)("Distance " d = sqrt 14 ~~ 3.74 " units"$

What is the distance between (–3, 2, –3) (–3, 2, –3) and (0, 4, –2) (0, 4, –2) ?