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

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Answer 1 · 2016-08-14T17:33:34

#A=(-1,2,-3)" ; "A_x=-1" ; "A_y=2" ; "A_z=-3#

#B=(-1,4,-2)" ; "B_x=-1" ; "B_y=4" ; "B_z=-2#

#Delta x=B_x-A_x=-1+1=0#
#Delta y=B_y-A_y=4-2=2#
#Delta z=B_z-A_z=-2+3=1#

#"The distance between A and B can be calculated using "#

#s_("A,B")=sqrt(Delta x^2+Delta y^2+Delta z^2)#

#s_("A,B")=sqrt(0^2+2^2+1^2)#

#s_("A,B")=sqrt(4+1)#

#s_("A,B")=sqrt(0^2+2^2+1^2)=sqrt 5 " unit"#