Question

Consider the following planes. 5x − 2y z = 3, 2x y − 5z = 3 find parametric equations for the line of intersection of the planes.

Answer 1

To find the parametric equations for the line of intersection of the given planes, we need to solve the system of equations formed by setting the two plane equations equal to each other. Setting the two equations equal, we get: 5x - 2yz = 3 and 2xy - 5z = 3. Solving this system, we find that x = 3t, y = t, and z = 2t, where t is a parameter.

Step-by-step explanation:

To find the parametric equations for the line of intersection of the given planes, we need to solve the system of equations formed by setting the two plane equations equal to each other. Setting the two equations equal, we get: 5x - 2yz = 3 and 2xy - 5z = 3. Solving this system, we find that x = 3t, y = t, and z = 2t, where t is a parameter.