Student/VectorCalculus/ConvertVector

Student[VectorCalculus][ConvertVector] - converts Cartesian free Vectors, rooted Vectors and position Vectors among themselves

	Calling Sequence
	ConvertVector(v,form) ConvertVector(v,form, root )

Parameters

v	-	'Vector'(algebraic); the Cartesian free Vector, rooted Vector or position Vector to convert
form	-	name; specify the type of Vector to be converted to: free, rooted or position
root	-	(optional) list(algebraic) or Vector(algebraic); root point of the converted Vector

Description

•	The ConvertVector command converts Cartesian free Vectors, rooted Vectors and position Vectors among themselves by specifying the desired type. If v is not a Cartesian Vector, an error is raised.

•	If form is rooted, the root point can be specified as a list or a free Vector with the extra optional parameter root. If root is a list, it is interpreted in Cartesian coordinates, if it is a free Vector in non-Cartesian coordinates, an appropiate transformation is made to obtain a Cartesian root.

–	If form is rooted, v is a free, rooted or position Vector and root is provided, the result is the Vector rooted at root.

–	If form is rooted, v is a position Vector and root is not provided, then the Vector is rooted at the Cartesian origin.

–	If form is rooted, v is a free Vector and root is not provided, an error is raised.

•	The Student[VectorCalculus] package uses the same Vector data structures as the VectorCalculus package. For details about the various types of Vectors in these packages, see VectorCalculus,Details.

Examples

Vector[column]([[cos(p)], [sin(p)]])

(1)

pv := Vector[column]([[p*cos(p)], [p*sin(p)]])

(2)

(3)

v2 := Vector[column]([[p*cos(p)], [p*sin(p)]])

(4)

Matrix([[`Type: `, `Rooted Vector`], [`Components: `, [p*cos(p), p*sin(p)]], [`Coordinates: `, cartesian[x, y]], [`Root Point: `, [0, 0]]])

(5)

(6)

v3 := Vector[column]([[p*cos(p)], [p*sin(p)]])

(7)

(8)

v4 := Vector[column]([[p*cos(p)], [p*sin(p)]])

(9)

(10)

	See Also
	Student[VectorCalculus], Student[VectorCalculus][About], Student[VectorCalculus][PlotPositionVector], Student[VectorCalculus][PositionVector], Student[VectorCalculus][RootedVector], Student[VectorCalculus][Vector]