What is the distance between # (8, 6, 0) # and #(–1, 4, –2) #?
1 Answer
Explanation:
To calculate the distance between these 2 points use the
#color(blue)" 3-dimensional version of the distance formula"#
# d = sqrt((x_2 - x_1)^2 +(y_2 - y_1)^2 + (z_2 - z_1)^2# where
#(x_1,y_1,z_1) " and "(x_2,y_2,z_2) " are the coords of the 2 points"# here let
#(x_1,y_1,z_1) =(8,6,0) " and " (x_2,y_2,z_2) = (-1,4,-2)#
#rArr d = sqrt((-1-8)^2+(4-6)^2+(-2-0)^2) = sqrt(81+4+4) = sqrt89#