How would I calculate this 2 formulas in c#?

So this are the 2 formulas that i'm having problems with, because well apparently I can't multiply / divide vectors in C#

r = position
v = velocity
h = specific angular momentum
e = eccentricity



Does anyone know of a solution?

 

In Vector multipliction you have 2 possibilities:
Vector A * Vector B this is known as the dot product and returns a Scalar (just a number):
https://www.mathsisfun.com/algebra/vectors-dot-product.html

Unity Code:

Code (CSharp):

1. Vector3 vectorA;
2. Vector3 vectorB;
3.  
4. float scalar = Vector3.Dot(vectorA,vectorB);

Second Possibility is:
VectorA x VectorB this is known as the cross product and returns a Vector:
https://www.mathsisfun.com/algebra/vectors-cross-product.html

Unity Code:

Code (CSharp):

1. Vector3 vectorA;
2. Vector3 vectorB;
3.  
4. Vector3 vectorC = Vector3.Cross(vectorA,vectorB);

Your equations look like you should be taking the Cross Product. Where if you were using the standard C# symbol for multiplication your were taking the Dot product.

EDIT: One more thing the I bet you the last term of the 2nd equation:
Vector r / r
Is vector being divided by its magnitude, normalizing the vector to unit length. Unity has this built in:

Code (CSharp):

1. Vector3 vectorPosition;
2.  
3. vectorPosition = vectorPosition.normalized;

 

Thank you very much! Have a nice day