##

##

##

##

    See operating CAD

    Vectors
    Vectors use the identification letter D  (direction).

    See also: vector codes (what is a vector ..)
    See also: dynamic vectors

    VEC cartes, polar
    Create vector.

       BaseVector       basevector   see vector
       [Angle-Rot.]     rotation around the z-axis of the active construction-plane
       [Angle-Tilt]     tilting angle in the active construction-plane
       [Length]         Definition of vector length
       [REVers]         Reverse Direction ("REV"; also with Page-Down key)

      Definition basevector:
        Definition by entering the components of the axis (eg "0 0 1", a z-vector)

        Or input of a standard vector (eg "DX")
          Standardvectors are DX DY DZ DIX DIY DIZ.

        Or a defined vector (eg "D20"; with Page-Up or Down key or select
          from the objectbrowser (left side))

        Or selection of a line or polygonsegment (or polygonsegment in CCV)
          or plane or plain surface.

    Examples:
    # Vector from X,Y,Z-components:
    D20=D(0.7 0 0.7)

    # X-Vector rotated 30 deg. around the z-axis of the active construction-plane
    #   and then 60 deg. tilted.
    D21=DX ANG(30) ANG(60)

    # Vector reverted
    D22=D21 REV

    VEC from objects
    Vectors parallel or right-angled to existing objects.

       Obj1              Line or curve or surface
       [Point (on obj)]  basepoint for vector (point)
       [PT or VC]        additional object (parallel / normal vector)
       [Length]          Definition of vector length
       [REVers]          Reverse Direction ("REV"; with Page Down key)
       [parallel-across] parallel (tangential (PARL)) or normal (rectangular (CX))

    Parallel vector:

      Vector tangential to curve
       Obj1              Line or curve or surface
       [Point (on obj)]  Basepoint of vector on curve / surface
       [Length]
       [REVers]

      Vector between 2 points
       Obj1              startpoint
       [Point (on obj)]  endpoint
       [Length]
       [REVers]

      Vector on surface parallel to Isoparametric direction U or V
       - not yet implemented for all surface-types
      Vector X-axis or Y-axis for circle ellipse plane
       Obj1              surface circle ellipse or plane
       [Length]
       [REVers]
       PARL oder CX      PARL: direction U (along)
                         CX:   direction V (across)
                         none: Normalvector to surface

    Normal vector:

      Normalvector to circle ellipse plane surface
       - not yet implemented for all surface-types
       Obj1              circle ellipse plane surface
       [Length]
       [REVers]

      Normalvector to plane from 2 linear segments (crossproduct):
       Obj1              line or vector
       [PT or VC]        point or vector or vector from line
       [Length]
       [REVers]

      Normalvector to plane from 3 points (crossproduct):
       Obj1              point on x-axis
       [Point (on obj)]  origin (startpoint for X-axis, Y-axis)
       [PT or VC]        point near Y-axis
       [Length]
       [REVers]

    Examples:

    # Normal vector to circle
    D20=C20

    # Tangential vector to circle
    D21=C20 P(C20 0.2)

    # Vector between points P1, P2; length 100.
    D5=P1 P2 VAL(100)

    # Normal vector to line L20:
    D20=L20 DZ

    # Vectors of existing Plane:
    D20=R20         # Z-axis-Vector of plane R20
    D20=R20 PARL    # X-axis-Vector of plane R20    or eg "D(R20 PARL)"
    D20=R20 CX      # Y-axis-Vector of plane R20

    The following commands must be produced manually:

    Vector-Multiplication / Divison
    D21 = D20 * 2
    D22 = D20 / 2