What is the distance between #(9, 2, 0) # and #(3, 6, 2) #?

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Answer 1 · 2017-02-20T21:05:31

The distance between the two points is #sqrt(56)# or #7.483# rounded to the nearest thousandth.

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)(9))^2 + (color(red)(6) - color(blue)(2))^2 + (color(red)(2) - color(blue)(0))^2)#

#d = sqrt((-6)^2 + 4^2 + 2^2)#

#d = sqrt(36 + 16 + 4)#

#d = sqrt(56) = 7.483# rounded to the nearest thousandth.