Question #180297

Find the Euclidean distance between (1,3,4) (4,2,-5)


1
Expert's answer
2021-04-21T13:05:40-0400

d(p,q)=((q1p1)2+(q2p2)2+(q3p3)2+...(qnpn)2d(p,q)=√((q1−p1)^ 2 +(q2−p2) ^ 2 +(q3−p3)^ 2 +...(qn−pn)^ 2

q1=1q1 = 1

q2=3q2 = 3

q3=4q3 = 4

p1=4p1 = 4

p2=2p2 = 2

p3=5p3 = -5

=((41)2+(23)2+(54)2))=√((4−1)^ 2 +(2−3) ^ 2 +(−5−4) ^ 2 ))

=(32+1+(92))= √(3^2+1^+(−9^2))

=9+1+81= √9 + 1 + 81

=91= √91

=9.5394= 9.5394




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