@Torre Thank You. Have Experimented with your Suggestion. Closeset I got was with Q diagonal matrix [1,1,0]. Produdes correct number of zeroes but row and columns e4 and e5 would need to be reversed. Looks like I need a 4x4 matrix as shown at end. Could not make a table with the "Structure Equations. Would appreciate any further suggestions.

Download Clifford.mw

@Markiyan Hirnyk 

Hello do you know where this book can be purchased from and is it written in English?

@vv Thank you. worled well!

@Markiyan Hirnyk What I mean't was e.g (form one of the answers supplied) 

I wish to see what the Basis equations contain in terms of the produsts of the variables.

@nutnutman Firstly "vv 575" substitution method is really excellent. I decided to try a bit more complex too. Higher order derivatives and mixed derivatives. I looked at the link you provided, I didn't have a clue either. Have not used the substitution method here but it could be applied.

Download diff_sum_2.mw

@vv Never thought of "subs" and being able to add them that way.

@Carl Love That is a point I wasn't sure about myself.

@nutnutman 

What I posted was just an idea. Don't really know what you are doing. Post a work sheet (as I did) with a more complex example. That might encourage others to look at the problem. Nobody wants to retype complex formulas.

I am using Maple 18. Documentation says Solidworks 2013 required. I am on SW 2015. Connection won't open. Have you access to SW 2013?

@Kitonum That works quitew well.

@Thomas Richard  Thank You

Well I can't see a way. I was oringinaly asking hopeing maple could automatically reduce the answer. The original problem was to do with a problem in Rational Trigonometry. I wandered off into the weeds working it out (with the help of Maple) as my answer shows. Here is a link to how the solution is arrived at http://www.youtube.com/watch?v=FsQb0_Lgphc&list=PL3C58498718451C47 . I guess one would need to evaluate/ relate both solutions and see how one  relates to the other. I don't have a tidy worksheet that is worth posting. I could do one though.

Well I can't see a way. I was oringinaly asking hopeing maple could automatically reduce the answer. The original problem was to do with a problem in Rational Trigonometry. I wandered off into the weeds working it out (with the help of Maple) as my answer shows. Here is a link to how the solution is arrived at http://www.youtube.com/watch?v=FsQb0_Lgphc&list=PL3C58498718451C47 . I guess one would need to evaluate/ relate both solutions and see how one  relates to the other. I don't have a tidy worksheet that is worth posting. I could do one though.

Download Rationalize_ans.mw

Look like worksheet didn't attach. "nd try

In the definition of spherical coords the order is r, theta , phi

,

in the definition of the Vector field the order is r, phi ,theta

Why is this?