```

Vectors
Vectors use the identification letter D  (direction).

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 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) or normal (rectangular (CX))

Vectors -
- between 2 points, with given length, reverse
- from line or polygon-segment

Normal vectors:
- to circle or plane or ellipse
- to 3 points          (Obj1 (2 points), Point)
- to line, point       (Obj1, Point)
- to 2 lines/vectors   (Obj1, -, PT or VC)
- to surface (until now only B-SplineSurface)

Tangential vectors:
- tangential to curve - point on curve  (select curve and point on this curve)
- parallel to Isoparametric of point on surface (PARL = direction U; CX = V)

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

# X-axis-Vector of plane R20
D20=R20 PARL

The following commands must be produced manually:

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

```