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Question: [Physics] how determine components of a vector

Question:[Physics] how determine components of a vector

illuminates 65 Maple 2017
vector physics
December 25 2017
1

I want to determine components of a vector in explicit form.  Let I have vector nn[mu] with components (1,0,0,0). Is it possible to explain to Maple it?

I tried to do the next:

with(Physics);
Setup(dimension = 4);
Setup(metric = {(1, 1) = -1, (2, 2) = -1, (3, 3) = -1, (4, 4) = 1});
Setup(mathematicalnotation = true);
Coordinates(X);
Setup(tensors = {nn[mu](X)});
nn[mu] = Matrix(1, 4, {(1, 1) = 0, (1, 2) = 0, (1, 3) = 0, (1, 4) = 1});
nn[mu]*k[mu];
SumOverRepeatedIndices(%)

 

The answer that maple gives is:

nn[1]*k[`~1`]+nn[2]*k[`~2`]+nn[3]*k[`~3`]+nn[4]*k[`~4`]

 

So, doesn't Maple understand that nn[1]=nn[2]=nn[3]=0?
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