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Student[VectorCalculus]

  

GetPVDescription

  

returns a description of a position Vector in a specified coordinate system.

 

Calling Sequence

Parameters

Description

Examples

Calling Sequence

GetPVDescription(pvector)

GetPVDescription(pvector, c)

Parameters

pvector

-

Vector; the position Vector

c

-

name or name[name, name, ...]; specify the coordinate system, optionally indexed by the coordinate names

Description

• 

The GetPVDescription returns a list with the description of pvector in c coordinates; pvector is not changed.

• 

If no coordinate argument is provided, the description of pvector is given with respect to the current coordinate system as long as the dimensions match.

• 

The position Vector is always a cartesian Vector rooted at the origin, but its description varies with the choice of coordinates. For more details about position Vectors, see VectorCalculus,Details.

Examples

withStudent[VectorCalculus]:

pvPositionVectorpcosp,psinp,cartesianx,y

pvpcosppsinp

(1)

MGetPVDescriptionpv,polarr,t:

simplifyMassumingp::real

p,arctanpsinp,pcosp

(2)

pv2PositionVectorM,polarr,t

pv2pcosppsinp

(3)

carctanu

carctanu

(4)

pv3PositionVectorcosucosc,sinucosc,sinc,cartesianx,y,z

pv3cosuu2+1sinuu2+1uu2+1

(5)

MGetPVDescriptionpv3,sphericalr,p,t:

simplifyMassumingu::real

1,arctan1,u,arctansinu,cosu

(6)

See Also

Student[VectorCalculus]

Student[VectorCalculus][About]

Student[VectorCalculus][PlotPositionVector]

Student[VectorCalculus][PositionVector]