What is the distance between #(-2,-9,10)# and #(22,5,-6)#?

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Answer 1 · 2016-03-29T23:09:42

#d=sqrt(1028)#

#d=32.06243908#

In Euclidean three-space, the distance between points #(x_1,y_1,z_1)# and #(x_2,y_2,z_2)# is

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

#d=sqrt((22--2)^2+(5--9)^2+(-6-10)^2)#

#d=sqrt((24)^2+(14)^2+(-16)^2)#

#d=sqrt(576+196+256)#

#d=sqrt(1028)#

#d=32.06243908#

God bless....I hope the explanation is useful.