- 10.1 Vector Arithmetic
- Vector addition, subtraction, and scalar multiplication can be done on row or column vectors in any format. Mixed formats are also allowed.
- 10.2 Form Conversion
- Vector conversions can be performed in several ways.
- 10.3 vadd( V1, V2 )
- Add two 2-D vectors and graphically display the vector triangle. The vectors may be entered in any vector format. Vector components in rectangular form may be enclosed in brackets[], braces{}, or parentheses().
- 10.4 vangle( V1, V2 )
- Computes the angle between two 2-D vectors and graphically display the vectors. The angle is displayed according to the current angle format setting. The vectors may be entered in any vector format. Vector components in rectangular form may be enclosed in brackets[], braces{}, or parentheses().
- 10.5 projUonV( V1, V2 )
- Computes the projection of V1 on V2. The projection vector is displayed according to the current vector format setting. The vectors may be entered in any vector format. Vector components in rectangular form may be enclosed in brackets[], braces{}, or parentheses().
- 10.6 dotP( V1, V2 )
- Returns the dot product of two vectors or two lists.
- 10.7 crossP( V1, V2 )
- Returns the cross product of two 2 or 3-D vectors or two 2 or 3-D lists.
- 10.8 norm( mat )
- Returns the Frobenius norm of matrix mat. This will be the length of a row or column matrix (vector).
- 10.9 unitV( V )
- Returns the unit vector in the same direction as V.
- 10.10 grad( f(x,y,z), {x,y,z} )
- Gradient in rectangular coordinates of function f(x,y,z).
- 10.11 div( { f(x,y,z), g(x,y,z), h(x,y,z) }, {x,y,z} )
- Divergence in rectangular coordinates of the vector function f(x,y,z)i + g(x,y,z)j + h(x,y,z)k.
- 10.12 curl( { f(x,y,z), g(x,y,z), h(x,y,z) }, x, y, z )
- Curl in rectangular coordinates of the vector function f(x,y,z)i + g(x,y,z)j + h(x,y,z)k.
- 10.13 pot( { f(x,y,z), g(x,y,z), h(x,y,z) }, x, y, z )
- Potential in rectangular coordinates of the vector function f(x,y,z)i + g(x,y,z)j + h(x,y,z)k.
- 10.14 jacobian( {functions}, {variables} ) - by S. L. Hollis
- Returns the Jacobian matrix of the list of functions {functions} in the listed variables {variables}.
