Solids Builder - Vectors

Vectors are auxiliary geometries for drawing more complex geometries. There are the following activities that create vectors:

• Vector (XYZ) - creates a vector by its X, Y, Z properties
• Tangent - calculates the tangent vector to a curve at a point (first derivative)
• Vector Point to Point - creates a vector between two known points
• Perpendicular - calculates the normal vector to another vector
• Cross Product - calculates the cross product of two vectors (ZAxis = XAxis * YAxis)

Properties (to use in VB expressions):

• X - vector X component
• Y - Y component of the vector
• Z - vector Z component
• Length - length of the vector

Methods (to use in VB expressions):

• New - creates a new instance of an array
  pt =New GeometryVector(x, y, z)
  Where x, y, z are real numbers
  
  
• * (multiply) - multiplies a vector by a Scale (real number)
  vet = vector * value
  Where:
  vet and vector are vectors
  value is a real number
• / (divide) - divides a vector by a Scale (real number)
  vet = vector / value
  Where:
  vet and vector are vectors
  value is a real number
• AngleOnPlane - calculates the vector angle projected onto the plane
  angle = vector.AngleOnPlane(plane)
  Where:
  angle will be a real number that represents the angle in radians
  plan is a plan
  vector is a vector
• GetPerpendicularVector - calculates the perpendicular vector
  per = vector.GetPerpendicularVector()
  Where:
  vector and per are vectors
• GetNormal - calculates the normal vector (same direction, with length equal to 1)
  norm = vector.GetNormal()
  Where:
  vector and norm are vectors
• GetAngleTo - calculates the angle between two vectors, in the plane that contain them
  angle = vectorA.GetAngleTo(vectorB)
  Where:
  angle will be a real number that represents the angle in radians
  vectorA and vectorB are vectors