I have a somewhat large expression in inner products,
```
zeta = (
- <e0, e0> * <e1, e1> * <e2, e2>
+ 4 * <e0, e1> * <e1, e2> * <e2, e0>
+ (
+ <e0, e0> * <e1, e2>
+ <e1, e1> * <e2, e0>
+ <e2, e2> * <e0, e1>
) * (
+ <e0, e0> + <e1, e1> + <e2, e2>
- <e0, e1> - <e1, e2> - <e2, e0>
)
- <e0, e0>**2 * <e1, e2>
- <e1, e1>**2 * <e2, e0>
- <e2, e2>**2 * <e0, e1>
)
```
and the symmetry in the expression has me suspect that it can be further
simplified. Is sympy capable of simplifying vector/dot product expressions?
A small example that, for example, takes
```
<a, c> + <b,d> - <b,c> - <a, d>
```
and spits out
```
<a-b, c-d>
```
would be great.
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