Line

A line in $3-$dimensional space. The Line class should have multiple constructors:

You can define a line by two points where the points may be either type Point$2$D or type Point. You can assume the two points are different. Optional challenge: Create a checked exception that you

throw if the two points are not different.

You can define a line by a point and a vector where the point may be either type Point $2$ D or Point. The line will run through the point and be parallel to the vector.

In addition, the Line class should have the following methods:

toString

Overrides the toString method of object. Returns a String representation of the Line. The String should contain the three parametric equations for the line.

equals

Overrides the equals method of object. Return true if the input value is a Line or a Line$2$D that represents the same line.

getVector

Takes no input and returns a vector that is parallel to this line.

isParallel

A static method that takes two inputs and returns a boolean. The input values may be type Line$2$D or type Line. Returns true if the two input lines are parallel.

intersection

A static method that takes two lines as input and returns a point. If both inputs are type Line$2$D the the ouput should be type Point$2$D$.$ If either input is type Line then the output should be type Point.

The method should return the point where the two input lines intersect, if there is an intersection. If the two lines do not intersect, the method should return null.