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Mathematics Wolfram Language

Add three 3-dimensional vector groups together?

Mitchell Sandlin

Posted 6 years ago

When I add two 2-dimensional vector groups together, I get the desired results of two groups. However, when I add three 3-dimensional vector groups together, it appears that each individual group appears as a group - see attached. I am expecting all the 1st elements of the vectors to form a group, and all the 2nd elements of the vectors to form a group and finally all the 3rd elements of the vectors to from a final group, similar to the 2-dimensional vector group. However, I am not sure of the results that I am getting. Additionally I am getting an error message "Thread::tdlen: Objects of unequal length in {{{{E^(Plus[<<2>>] t)},{-Sqrt[2] E^Times[<<2>>]}}},{E^((-2-Power[<<2>>]) t)}}+{<<1>>}+{{{{E^(Plus[<<2>>] t)},{Sqrt[2] E^(<<5>><<1>><<1>>])}}},{E^<<1>>}} cannot be combined. I am sure that it is my misunderstanding so please point me in the correct direction. Thanks, Mitch Sandlin Attachments: 3VectorMatrix.nb

POSTED BY: Mitchell Sandlin

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Hans Milton

Posted 6 years ago

Rewriting the 3-dimensional example this is what I get: In[1]:= {1, -Sqrt[2], 1} E^((-2 - Sqrt[2]) t) + {-1, 0, 1} E^(-2 t) + {1, Sqrt[2], 1} E^((-2 + Sqrt[2]) t) Out[1]= {-E^(-2 t) + E^((-2 - Sqrt[2]) t) + E^((-2 + Sqrt[2]) t), -Sqrt[2] E^((-2 - Sqrt[2]) t) + Sqrt[2] E^((-2 + Sqrt[2]) t), E^(-2 t) + E^((-2 - Sqrt[2]) t) + E^((-2 + Sqrt[2]) t)} Looks a bit nicer in a picture: No error message

Rewriting the 3-dimensional example this is what I get:

In[1]:= {1, -Sqrt[2], 1} E^((-2 - Sqrt[2]) t) + {-1, 0, 
   1} E^(-2 t) + {1, Sqrt[2], 1} E^((-2 + Sqrt[2]) t)

Out[1]= {-E^(-2 t) + E^((-2 - Sqrt[2]) t) + 
  E^((-2 + Sqrt[2]) t), -Sqrt[2] E^((-2 - Sqrt[2]) t) + 
  Sqrt[2] E^((-2 + Sqrt[2]) t), 
 E^(-2 t) + E^((-2 - Sqrt[2]) t) + E^((-2 + Sqrt[2]) t)}

Looks a bit nicer in a picture: enter image description here

No error message

POSTED BY: Hans Milton

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