Using maple 16. When I run a worksheet it adds in extra rows of the red >s. The attached example was run 3 times. How do I stop this happening?

>  >  >  >  >  >  >  >  >  >  >  >  >  >  >  (1) >  >  >  >  >  (2) >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >  >

 

Download worksheet_issue.mw

Hello

Am trying to convert a vector projection to matrix type output.

Attached is a sample worksheet.

 

Transformation_matri.mw 

 

In the attached worksheet there are 2 numbers. The first is the answer a got, the second is the offical correct answer.Ther look entirely different. Numerically they are the same. I wondering is there a way to simplify my answer?Rationalize_ans.mw 

I am reading a book "The Foundatiosn of  Celestial Mechanics" available to download here http://ads.harvard.edu/books/1989fcm..book/  in pdf. There some excerise questions to do at the end of each chapter. I'm at the end of Ch 1! I haven't used the VectorCalculus side of Maple (16) and am rusty on the subject, (read as did 30 years ago)

How would i do this question?

 

Having read the above I decided to try it on a substitution problem I had last year on a set of equations. Work sheet containe an example. I successifuly applied algsubs to the problem. It can be slow and their is no easy way I see to know when the substitution is complete. so what I did go round the loop 2, 3, 4, 5 times. Crude!

Decided to try "side relations" with simplify here but it comes out with a totally different answer (not correct).

Could somebody explain why?