Working backwards to find scalar equations

[emma3001]

I am given the symmetric equation of the line of intersection of two planes. I also have a point on each plane. Now I have to work backwards to determine the scalar equations of the two planes.

I can work to get it by saying for example x + 2y + 3z -6 + k(4x - y -z +4) - these are made up numbers. Then if I had the point I would substitute the point into the formula. However, working backwards from the LOI is proving to be a great challenge. Can anyone help start me off?

 

[emma3001]

any takers? please?

 

[pkleinod]

I am given the symmetric equation of the line of intersection of two planes. I also have a point on each plane.

Find two points on the line of intersection. Then you have three points for each plane.