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What is the distance between #(6, 8, 2) # and #(3, 4, 1) #?

1 Answer

Dec 18, 2015

#sqrt(26)#

Explanation:

Distance between 2 points #(x_1,y_1,z_1)# and #(x_2,y_2,z_2)#
#color(white)("XXX")=sqrt(Deltax^2+Deltay^2+Deltaz^2) = sqrt((x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2)#

For the given points #(6,8,2)# and #(3,4,1)#
Distance
#color(white)("XXX")=sqrt((6-3)^2+(8-4)^2+(2-1)^2)#

#color(white)("XXX")=sqrt(9+16+1)#

#color(white)("XXX")=sqrt(26)#

#color(white)("XXX")~=5.099019514# (using a calculator)

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