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With respect to vector analysis cross-product Is it possible to place two straight lines of any orientation on a common plane?

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What if the lines are skew? –  J. M. Nov 5 '11 at 9:47
    
But provided the lines are not skew (they both pass through some common point P) then yes, you can always construct a plane which contains both lines. (A normal to this plane will be the cross product of the direction vectors along each line, and from this normal it's possible to calculate the cartesian equation for the plane.) –  tom Nov 5 '11 at 11:59
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What do you mean by "place"? Is it allowed to translate one of the lines until they intersect? –  Christian Blatter Nov 5 '11 at 12:03
    
when I say place two straight lines..., translate those lines and make them lie on a plane –  Kirk Hammett Nov 5 '11 at 18:53
    
If you’re allowed to translate the lines parallel to themselves, then the answer is yes: if they do not already lie in a common plane, translate one until it intersects the other. –  Brian M. Scott Nov 5 '11 at 19:25
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