maxima vector command

 

Maxima vector magnitude and cross product

https://math.stackexchange.com/questions/1029762/maxima-vector-magnitude-and-cross-product/1180712

http://www.scotchildress.com/wxmaxima/VectorArithmetic/VectorArithmetic.html

 

vector command in maxima

• a.b      a.b;
  
• axb

         load("vect" );

         express(a~b);

• |a|

           sqrt(a.a); 

          or

          norm(x):=sqrt(x.x);

• a hat

           a/sqrt(a.a) ;

           or

           hat(x):=x/norm(x); 

•  a proj b 

            proj(a,b):=a.b/norm(b)^2 *b ;

example:

kill(all);
load("vect" );
express(a~b);
norm(x):=sqrt(x.x);
hat(x):=x/norm(x);
proj(a,b):=a.b/norm(b)^2 *b ;

a:[1,2];
b:[3,4];
a.b;
express(a~b);
norm(a);
hat(a);
proj(a,b);