Originally Posted by

**geton** Find the point of intersection of the line through the points (2, 0, 1) and (-1, 3, 4) and the line through the points (-1, 3, 0) and (4, -2, 5).

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__So far I did__:

Let the line l₁ has points __c__ = (2, 0, 1) and __d__ = (-1, 3, 4).

So the vector equation of a straight line is

__r__ = __c__ + t(__d__ - __c__)

__d__ - __c__ = (-3, 3, 3)

So **l₁: **__r__ = (2, 0, 1) + t(-3, 3, 3)

Similarly I found

**l₂: **__r__ = (-1, 3, 0) + s(5, -5, 5)

But it seems not right. When I equate the x & y components & solving simultaneously I found no solution. Actually what to do in this case?