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Vector Addition (scalar, direction) with vector result
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Joined: 19/09/2013(UTC) Posts: 1 
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Hello all
I have two vectors with scalar and direction that I want to add and get a resulting vector that has scalar and direction. I can't seem to figure this out? Basically I have a force problem that I am solving for and I figured this would be best done by adding the vectors to get the resulting force however I can't seem to figure this out on SMath.
Thank-you to all who answer.
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  Rank: Advanced Member Groups: Registered, Advanced Member Joined: 13/01/2012(UTC) Posts: 2,648   Location: Italy Was thanked: 1332 time(s) in 876 post(s)
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Can you post an example (from literature or made by you)? |
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Rank: Advanced Member Groups: Registered
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oops I never tried this, I think he means this http://www.1728.org/vectors.htmI might be wrong but SMath does not calculate sum of vectors given in polar coordinates correctly
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 1 user thanked kilele for this useful post.
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Actually, there are several ways to calculate vector sums. In 2D the most natural way for vectors given in polar form is using complex numbers. In mechanics, we usually transform to cartesian components, as this can be generalized to 3D. Unfortunately, this example reveals that the handling of sums in Maxima plugin is very weak at the moment. Therefore, we have to "surrender" for the moment. File Attachment(s): mkraska attached the following image(s): |
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Rank: Advanced Member Groups: Registered, Advanced Member Joined: 13/01/2012(UTC) Posts: 2,648 Location: Italy Was thanked: 1332 time(s) in 876 post(s)
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Originally Posted by: kilele  oops I never tried this, I think he means this http://www.1728.org/vectors.htmI might be wrong but SMath does not calculate sum of vectors given in polar coordinates correctly I think you are right; BTW is a quite simple problem, so one can build his own function, with the most appropriate input standard that he think better and, like has Martin said, there are several ways to process the problem  Edited by user 21 September 2013 01:08:55(UTC)
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Rank: Advanced Member Groups: Registered
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I think the question is about adding vectors entered in polar form as in the first expression. Note that SMath does not return the correct result.  Edited by user 21 September 2013 14:00:14(UTC)
| Reason: Not specified kilele attached the following image(s):
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Rank: Advanced Member Groups: Registered
Joined: 15/04/2012(UTC) Posts: 1,988 Was thanked: 1126 time(s) in 723 post(s)
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Originally Posted by: kilele Note that SMath does not return the correct result. Lists and list operations are not a good representation for vectors and vector operations. If lists obtained by pol2xy are to be added, they must be converted to vectors using sys2mat(). File Attachment(s): mkraska attached the following image(s): |
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Rank: Advanced Member Groups: Registered
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@ioan92
Nice explanation on how to get a result. The point of the original question, I think, was a direct way using only polar notation provided by SMath
@mkraska
I forgot to apply sys2mat to an expression involving more than one system, anyway the result of that sum is incorrect.
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