Give two points A and B in 3d space with co-ordinates:

A(a,b,c) and B(a',b',c'), what is the equation of the line passing through both points?

Thanks for the help.

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- December 29th 2008, 11:58 PMtombrowningtoneq. of line in space.
Give two points A and B in 3d space with co-ordinates:

A(a,b,c) and B(a',b',c'), what is the equation of the line passing through both points?

Thanks for the help. - December 30th 2008, 03:37 AMjames_bond
See this maybe it helps.

The parametric equations for a line passing through , are:

- December 30th 2008, 03:49 AMHallsofIvy
You can also write a line in three dimensions in "symmetric" form.

Solving each of those equations, for t,

I notice you asked for "the" equation of a line in three dimensions. Because a line is only one dimension, you need to "reduce"**two**dimensions and so need either two equations (3- 2= 1), as I give or introduce a new parameter, t, giving 4 variables with 3 equations: 4- 3= 1.