If k is not 0 and not 1, then your problem will have two solutions. For example, for your example the second solution would be if you take k =- 2 in your formulas .

Dear Mr. Hirnyk! The procedure is written for any skew lines and your lines intersect at the point [-1, -1 / 3, 2 / 3].

Of course, checking of the lines may be included in the text of the procedure, but it does not matter!

Dear Mr. Hirnyk! The procedure is written for any skew lines and your lines intersect at the point [-1, -1 / 3, 2 / 3].

Of course, checking of the lines may be included in the text of the procedure, but it does not matter!

If three points A, B and C are collinear, they define a single plane, and each point M of this plane is given by the formula M = xA + yB + zC, where x + y + z = 1. The numbers x, y, z are called the barycentric coordinates of the point M.

If three points A, B and C are collinear, they define a single plane, and each point M of this plane is given by the formula M = xA + yB + zC, where x + y + z = 1. The numbers x, y, z are called the barycentric coordinates of the point M.

The last command  convert(M,list)  provides the list of coordinates of the point M. Copy my code to your Maple and run!   

The last command  convert(M,list)  provides the list of coordinates of the point M. Copy my code to your Maple and run!