What is the distance between # (0, 4, –2) # and #(–1, 4, –2) #?

1 Answer
May 6, 2016

Answer:

#1#

Explanation:

The distance between #(x_1, y_1, z_1) = (0, 4, -2)# and #(x_2, y_2, z_2) = (-1, 4, -2)# is given by the distance formula:

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

#sqrt((-1-0)^2+(4-4)^2+(-2-(-2))^2))#

#= sqrt(1+0+0)#

#= sqrt(1) = 1#

Alternatively, simply notice that the #y# and #z# coordinates of the two points is identical, so the points only differ in the #x# coordinate and the distance between the points is just the absolute change in the #x# coordinate, namely #1#.