See operating CAD


Vectors

Vectors define a direction and do not have a position. Vectors use the identification letter D ("Direction"). There are the following standard vectors: DX DY DZ corresponding to the absolute directions DIX DIY DIZ corresponding to the reverse absolute directions Display of Vectors: - Vectors are only temporarly represented; - standard-vectors are displayed in the lower right corner - scan through defined vectors with the PageUp or PageDown button - Standardized vectors (with length 1) as dashed line, otherwise as full line. Define a vector: - select a line or 2 points or a polygon - select a circle or plane (normal-vector) - select one of the standard-vectors from the vectors displayed in the lower right corner. - select a defined vector with the PageUp or PageDown button - key in vector: standard-vector DX or DY or DZ or DIX or DIY or DIZ or defined-vector eg "D12" or the x/y/z-coordinates; eg "D(0 0 1)" defines a Z-vector or one or two angles; eg "D(ANG(45))" or "D(ANG(45) ANG(45))" Example: # Vector 1 = direction negative X-Achse D1=DIX # Vektor 2 = into direction x=1, y=1 in the XY-plane D2=D(1 1 0)

Vectors from Copy function

Objectselections create this formats: # Vector from Line: D(L{nr}) Example: L20=P(0 0 0) P(100 10 0) D20=D(L20) # Vector from Polygon segment # or Vector from Line in CCV: D({obj} MOD({SegmentNummer})) # Vector on circle, B-Spline, clothoid, ellipse: D#={C#|S#}) {lpar}) Example: # Vector on circle: C20=P(0 0 0) 12 D20=D(C20 0.5) # Vector from Line in CCV # or Vector from Polygonsegment in CCV: P({obj} MOD({CCV-SegmentNummer}) MOD({SegmentNummer})) Example: # Vector from 1.Segment of CCV S26 (a Line): P(S26 MOD(1))

VEC cartesian

Create vector. BaseVector basevector [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: D3=D(0.7 0 0.7) # X-Vector rotated 30 deg. around the z-axis of the active construction-plane # an then 60 deg. tilted. D4=DX ANG(30) ANG(60) # Vector reverted D5=D4 REV

VEC objects

Vectors parallel or right-angled to existing objects. Obj1 Line or curve or surface [Point (on obj)] basepoint for vector [PT or VC] additional object (e.g. for normal vector) [Length] Definition of vector length [REVers] Reverse Direction ("REV"; with Page Down key) [parallel-across] parallel (tangential) or normal (rectangular) Parallel Vector: Vector tangential to curve through point on this curve: Obj1 Line or curve or surface [Point (on obj)] point on this curve / surface Vector parallel to Vector or Line, cornerpoint Obj1 direction - Vector or Line [Point (on obj)] Startpoint [PT or VC] point (cornerpoint) PARL oder CX PARL: Vector along Obj1 from Startpoint to cornerpoint CX: Vector normal to direction default: normal to plane from Obj1 - cornerpoint Vector parallel to 2 points, cornerpoint Obj1 Startpoint [Point (on obj)] point on Vector / Line [PT or VC] point (cornerpoint) PARL oder CX PARL: Vector along Startpoint - Point-on-OBj to cornerpoint CX: Vector normal to Startpoint - Point-on-OBj default: normal to plane from 3 points Vector in surface parallel to Isoparametric direction U or Isoparametric direction V Obj1 surface oder plane [Point (on obj)] point on surface PARL oder CX PARL: vector at Point-on-OBj into direction U CX: vector at Point-on-OBj into direction V default: vector at Point-on-OBjnormal to surface Normal Vector: Normal vector for circle or plane or ellipse Obj.1 select circle, plane or ellipse Normal vector to 2 line Segments (crossproduct): 3 points line, point 2 lines The result (the normal vector) is the cross product of 2 input vectors. Normal vector surface (until now only B-SplineSurface) Obj.1 select surface and - [Point (on Obj)] a point on this surface 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