Derive the equation of the locus of a point equivalent from the points (1,-2,3) and (-3,4,2)

Engineering

Mathematics

Line of Greatest Slope

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(h - 1)^{2} + (k + 2)^{2} + (l - 3)^{2} = (h + 3)^{2} + (k - 4)^{2} + (l - 2)^{2} \Rightarrow - 2 h + 4 k - 6 l + 14 \Rightarrow 6 h - 8 k - 4 l + 29 \Rightarrow 8 x - 12 y + 2 z + 15 = 0

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