What is the distance between $(–10, –2, 2)$ and $(–2, 2, 6)$ ?

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Answer 1 · 2018-04-21T04:20:24

$color(indigo)("Distance between the two points" = 9.8 " units"$

$(x_1, y_1,z_1) = (-10, -2, 2), (x_2, y_2, z_2) = (-2, 2, 6)$

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

$d = sqrt((-2 + 10)^2 + (2+2)^2 + (6-2)^2)$

$d = sqrt (8^2 + 4^2 + 4^2) = sqrt 96$

$color(indigo)("Distance between the two points " d = 9.8 " units"$

What is the distance between (–10, –2, 2) (–10, –2, 2) and (–2, 2, 6) (–2, 2, 6) ?