Find the length of the segment joining the pair of points. (1,4,-3) and (7,2,6?

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Find the length of the segment joining the pair of points. (1,4,-3) and (7,2,6?

2006-12-11 17:17:40 · 4 answers · asked by sol 1 in Science & Mathematics ➔ Mathematics

4 answers

d^2 = 6^2 + 2^2 + 9^2
d^2 = 36 + 4 + 81 = 121
d = 11

2006-12-11 17:24:44 · answer #1 · answered by Helmut 7 · 0⤊ 0⤋

The length of the line segment joining the two points is calculated as follows:

â[(7-1)^2 + (2-4)^2 + (6-(-3))^2]
=â[6^2 + (-2)^2 + 9^2] = â(36 + 4 + 81) = â(121) = 11

2006-12-12 01:28:29 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋

This is just the distance formula.
[(x1-x2)^2 + (y1-y2)^2 + (z1-z2)^2]^1/2
= [(1-7)^2 + (4-2)^2 + (-3-6)^2]^1/2
= [6^2 + 2^2 + (-9)^2]^1/2
= (36 + 4 + 81)^1/2
= (121)^1/2
= 11

2006-12-12 01:30:21 · answer #3 · answered by Fry 2 · 0⤊ 0⤋

l^2=(1-7)^2+(4-2)^2+(-3-6)^2
l^2=36+4+81=121
l=11

2006-12-12 01:25:53 · answer #4 · answered by yupchagee 7 · 0⤊ 0⤋