When you are solving for the point of intersection between planes do you follow the same steps when solve for the point of intersection between lines?
No, solving for the point of intersection between planes and lines involves different steps and methods.
When solving for the point of intersection between lines, you typically use the method of setting the coordinates of the two lines equal to each other. This creates a system of equations that can be solved to find the values of the variables. The solution will give you the point of intersection between the lines.
However, when solving for the point of intersection between planes, you will need to use a different approach. One common method is to set up a system of equations using the equations of the planes. This system of equations can be solved to find the values of the variables, which represent the coordinates of the point of intersection.
To solve the system of equations, you can use various methods such as substitution, elimination, or matrix algebra. The solution to this system of equations will give you the point of intersection between the planes.
In summary, while both cases involve finding the point of intersection, the steps and methods used to solve for the intersection between planes and lines are different.