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Find the parametric equations of the line through the points (1, 3, 2) and (4, -1, 1).

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The direction numbers of the line joining the two points are (3,-4,-1) so
x = 1+3t
y = 3-4t
z = 2-t
or, eliminating t,
(x-1)/3 = (y-4)/-4 = (z-2)/-1

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