What is the distance between # (–2, 1, 3) # and #(–1, 4, –2) #?
1 Answer
Feb 13, 2016
Explanation:
use the 3-dimensional version of the
#color(blue)(" distance formula ")#
# d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2 + (z_2 - z_1)^2 )# let
#(x_1 , y_1 , z_1 ) = (-2 ,1 , 3)color(black)(" and (x_2 , y_2 , z_2) = (-1 ,4 , -2 )# substitute these values into the formula.
#d = sqrt((-1+2)^2 + (4 - 1 )^2 + (-2 - 3 )^2)#
# d = sqrt( 1^2 + 3^2 + (-5)^2) = sqrt(1+9+25) = sqrt35 #