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{SECT 0 {PARA 7 "" 1 "" {TEXT -1 50 "Warning, the name changecoords ha
s been redefined\n" }}{EXCHG {PARA 259 "" 0 "" {TEXT -1 41 "\n        \+
       Maple Stuff with Vectors\n" }}{PARA 0 "" 0 "" {TEXT -1 295 "Her
e are some Maple examples with vectors.    They illustrate the syntax
\nof some useful commands for vector operations, etc.   You can make\n
the commands ``happen'' by hitting  RETURN at the end of any input\nli
ne.   Input lines are in  red  on a color monitor, and they start\nwit
h a    >  symbol." }}{PARA 0 "" 0 "" {TEXT -1 125 "\nTo work with vect
ors, the first step is to load a package of vector things,\ncalled    \+
  linalg.     Here's how to load it:\n\n" }}{PARA 0 "> " 0 "" 
{MPLTEXT 1 0 15 "with( linalg );" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 
321 "The result is to load a whole slew of vector-  and matrix-oriente
d commands (most\nof which we'll have no use for).     Note that among
 the commands loaded\nare      crossprod    and   dotprod.    They do \+
what you'd think.\n\nLet's define some vectors for Maple to work with.
  We do so using the vector\ncommand, as follows:\n\n" }}{PARA 0 "> " 
0 "" {MPLTEXT 1 0 23 "v := vector( [1,2,3] );" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 23 "w := vector( [4,5,6] );" }}}{EXCHG {PARA 0 "" 0 
"" {TEXT -1 45 "Now let's do some things with these vectors:\n" }}
{PARA 0 "> " 0 "" {MPLTEXT 1 0 15 "dotprod( v,w );" }}}{EXCHG {PARA 0 
"> " 0 "" {MPLTEXT 1 0 15 "dotprod( w,v );" }}}{EXCHG {PARA 0 "> " 0 "
" {MPLTEXT 1 0 17 "crossprod( v,w );" }}}{EXCHG {PARA 0 "> " 0 "" 
{MPLTEXT 1 0 17 "crossprod( w,v );" }}}{EXCHG {PARA 0 "" 0 "" {TEXT 
-1 26 "Does that look right?   \n\n" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 
22 "n := crossprod( v,w );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
18 "crossprod( n, n );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 22 "c
rossprod( v+w, v-w );" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 20 "cr
ossprod( 2*v,3*v);" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "2*v+3*
w;" }}}{EXCHG {PARA 0 "" 0 "" {TEXT -1 78 "That's all very nice, but w
hat's the numerical answer?\n\nHere's how to get it:\n" }}{PARA 0 "> \+
" 0 "" {MPLTEXT 1 0 9 "evalm(\");" }}{PARA 0 "" 0 "" {TEXT -1 149 "The
   evalm   command    ``evaluates''  a vector or matrix   to\nmore or \+
less numerical form.\n\n\nHere's another useful  linear algebra style \+
command.\n\033" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 41 "m := matrix( [[1,
2,3],[2,3,4],[3,4,5]] );" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "rref(m);
" }}}}{MARK "14" 0 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }{PAGENUMBERS 0 
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