What is the distance between (-2,1,-3)(−2,1,−3) and (15,-13,-18)(15,−13,−18)?

1 Answer
sankarankalyanam
Apr 21, 2018

color(green)("Distance " d ~~ 26.61 " units"Distance d≈26.61 units

Explanation:

(x_1, y_1,z_1) = (-2, 1, -3), (x_2, y_2, z_2) = (15, -13, -18)(x1,y1,z1)=(−2,1,−3),(x2,y2,z2)=(15,−13,−18)

color(crimson)(d = sqrt((x_2 - 1)^2 + (y_2 - y_1)^2 + (z_2-z_1)^2)d=√(x2−1)2+(y2−y1)2+(z2−z1)2

d = sqrt((15+2)^2 + (-13-1)^2 + (-18+3)^2)d=√(15+2)2+(−13−1)2+(−18+3)2

d = sqrt(17^2 + 14^2 + 15^2) = sqrt(708d=√172+142+152=√708

color(green)("Distance " d ~~ 26.61 " units"Distance d≈26.61 units

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