Can someone tell me if the following can be solved in Axiom, and hence whether 
I should bother learning the system?

I have two equations in vectors of arbitrary dimension: z = y + ax (a is 
scalar, x,y,z vector) & p^t z = 0
(p another vector). Vectors  x,y,p are known, vector z and scalar a are 
unknown. Assume no two known vectors are orthogonal.

The solution of this is z = y + a x where a = -(p^t y) / (p^t x).

Is this expressible and solvable in Axiom?

Victor.

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