Please help.

Find the vector equation of the line of intersection of the 3 planes represented by this system of equations.

2x - 7y + 5z = 1

6x + 3y - z = -1

-14x - 23y + 13z = 5

Thank you very much!

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- May 26th 2008, 10:19 AMmathstudent43Line of intersection of 3 planes.
Please help.

Find the vector equation of the line of intersection of the 3 planes represented by this system of equations.

2x - 7y + 5z = 1

6x + 3y - z = -1

-14x - 23y + 13z = 5

Thank you very much! - May 26th 2008, 11:13 AMearboth
Solve the system for x and y dependent from z. I've got:

and

Set z = t. Then you have the parametric equation of the intersection line:

That means the vector equation of the line is:

The first vector is the stationary vector of a point which is located in all three planes and the second vector is the direction vector of the line.