helpm3pl3ase said:yes it worked, got 5 and 15
Parametric equations are a way of representing curves or surfaces in terms of one or more parameters. They allow for a more precise and efficient way of describing mathematical objects.
In the context of these two equations, parametric equations would represent the points of intersection between the two planes. These points would be defined by parameters such as t or s, which can be used to find specific points on the line of intersection.
To find the parametric equations for the line of intersection, we first need to solve for one of the variables in terms of the other two. This will give us a two-variable equation, which we can then use to define the parameters for the line of intersection. We can then use these parameters to find specific points on the line.
Yes, parametric equations can be used to find the distance between the planes. This can be done by finding the shortest distance between any two points on the line of intersection, which can be calculated using the formula for distance between two points in three-dimensional space.
Parametric equations and vector equations are closely related, as both represent the same geometric object. The parameters in parametric equations correspond to the components of the direction vector in vector equations. Furthermore, the parametric equations can be written in vector form as well.