What is the distance between #(–10, –2, 2) # and #(–1, 1, 3) #?

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Answer 1 · 2018-04-26T12:12:14

Distance between #(-10,-2,2) and (-1,1,3) # is # sqrt 91# unit

The distance between two points #P(x_1,y_1,z_1)# and

#Q(x_2,y_2,z_2)# in xyz-space is given by formula,

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

Here # P=(-10,-2,2) and Q=(-1,1,3) #

#D(P,Q)=sqrt((-1+10)^2+(1+2)^2+(3-2)^2# or

#D(P,Q)=sqrt(81+9+1)= sqrt 91# unit

Distance between #(-10,-2,2) and (-1,1,3) # is # sqrt 91# unit [Ans]