What is the distance between (3,-12,12)(3,−12,12) and (-1,13,-12)(−1,13,−12)?

1 Answer
Shwetank Mauria
Sep 19, 2016

The distance betwen (3,-12,12)(3,−12,12) and (-1,13,-12)(−1,13,−12) is 34.88634.886

Explanation:

In a three dimensional space, the distance between two points (x_1,y_1,z_1)(x1,y1,z1) and (x_2,y_2,z_2)(x2,y2,z2) is given by

sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)√(x2−x1)2+(y2−y1)2+(z2−z1)2

Hence, the distance betwen (3,-12,12)(3,−12,12) and (-1,13,-12)(−1,13,−12) is

sqrt(((-1)-3)^2+(13-(-12))^2+((-12)-12)^2)√((−1)−3)2+(13−(−12))2+((−12)−12)2

= sqrt((-4)^2+(25)^2+(-24)^2)√(−4)2+(25)2+(−24)2

= sqrt(16+625+576)√16+625+576

= sqrt1217√1217

= 34.88634.886

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