Vector Algebra and Calculus

Vector Algebra and Calculus - Messages

#1 Posted: 2/5/2017 1:02:17 AM
Basile

Basile

8 likes in 172 posts.

Group: User

Hello,

Can I have two vectors written in vector form
F.1(vector)=F.1x(x unit vector, hat on top) + F.1y(y unit vector, hat on top)
and another one, similarly.
And add them, subtract them, multiply them (inner and outer products)

All written in vector notation?

Similarly, vector calculus operations.

Thank you,
Basile
1 users liked this post
frapuano 2/5/2017 6:11:00 AM
#2 Posted: 2/5/2017 10:08:02 AM
Jean Giraud

Jean Giraud

983 likes in 6866 posts.

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Very few characters support "circonflex"

e.bmp
#3 Posted: 2/5/2017 4:59:44 PM
Basile

Basile

8 likes in 172 posts.

Group: User

Jean,

I was looking to do operations using vectors, like forces in Physics.
Any idea?

Thank you,
Basile
#4 Posted: 2/5/2017 6:25:50 PM
Arie

Arie

93 likes in 285 posts.

Group: User

You can perform vector operations. See below. I don't think SMath has a way to put "hats" on the varaibles, but to Jean's point you can just use something from the character map. He used ALT+136 to get e_hat in his example.

Screenshot 2017-02-05 at 4.24.42 PM.png
Feel free to join the SMath Studio Users Discord Channel: https://discord.gg/PayZpJW
#5 Posted: 2/5/2017 6:31:25 PM
Martin Kraska

Martin Kraska

1222 likes in 2150 posts.

Group: Moderator

There are some obstacles when trying to do (symbolic) vector algebra and calculus in SMath.

- You can't declare symbols as vectors or matrices (with non-commutative multiply.
- Therefore, symbolic simplifications may fail or produce wrong results.
- The cross product is overly picky about type of arguments, it requires expressions of type
matrix. Even just multiplying by a scalar will break it.

In the attached sheet, the attempt was made to solve some simple static problems using vectors.

If numerical values are given, this works to a certain degree.

The third, symbolic problem required a bit Maxima magic and manual copy and paste in order to get the solution.

There are some pages on matrix/vector operations in the interactive handbook.

13 Gleichgewicht im Raum.sm (196 KiB) downloaded 64 time(s).

2017-02-05 22_07_26.png

Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
1 users liked this post
frapuano 2/5/2017 7:12:00 PM
#6 Posted: 2/6/2017 9:38:45 AM
Basile

Basile

8 likes in 172 posts.

Group: User

Thank you All.

At this time, in my opinion, SMath cannot be used to solve problems using vector Algebra and Calculus that can be solved easily and presented nicely.
Perhaps the developers may want to consider this option.

Thank you,
Basile
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