2013

Table Of Contents

Vector Expressions

A vector expression is a collection of points, vectors, numbers, and functions

combined with the operators in the following table.

Vector operators

OperationOperator

Groups expressions( )

Determines the vector product of vectors (as a vector)&

[a,b,c]&[x,y,z] = [ (b*z) - (c*y) , (c*x) - (a*z) , (a*y) - (b*x) ]

Determines the scalar product of vectors (as a real number)*

[a,b,c]*[x,y,z] = ax + by + cz

Multiplies, divides a vector by a real number*, /

a*[x,y,z] = [a*x,a*y,a*z]

Adds, subtracts vectors (points)+ , -

[a,b,c] + [x,y,z] = [a+x,b+y,c+z]

The following are examples of vector expressions:

A+[1,2,3] provides the point located [1,2,3] units relative to point A.

The expression

[2<45<45] + [2<45<0] - [1.02, 3.5, 2]

adds two points and subtracts a third point. The first two points are expressed

in spherical coordinates.