I'm given the planes and . With these planes I am asked to find a parametric equation of the line in which these two planes intersect.
Then, I am asked to find the distance between this line and the point
How should I go about this problem?
I'm given the planes and . With these planes I am asked to find a parametric equation of the line in which these two planes intersect.
Then, I am asked to find the distance between this line and the point
How should I go about this problem?
Hi
You have several ways to find a parametric equation of the line of intersection
You can find 2 points on the line
Take for instance x=3, solve the system
Then take x=-1, solve the system
These 2 points define one direction vector of the line
Since you already have 1 point of the line, you can get a parametric equation
Second method, solve the system
using z (for instance) as parameter
You will find x, y (and z) function of z (parameter)