What is the distance between #(0, 0, 8) # and #(3, 6, 2) #?

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Answer 1 · 2018-03-25T17:18:49

See a solution process below:

The formula for calculating the distance between two points is:

#d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2 + (color(red)(z_2) - color(blue)(z_1))^2)#

Substituting the values from the points in the problem gives:

#d = sqrt((color(red)(3) - color(blue)(0))^2 + (color(red)(6) - color(blue)(0))^2 + (color(red)(2) - color(blue)(8))^2)#

#d = sqrt(3^2 + 6^2 + (-6)^2)#

#d = sqrt(9 + 36 + 36)#

#d = sqrt(81)#

#d = 9#