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How to get a matrix multiply that considers dimensions?

I just ran into a problem where Mma lack of dimension on a vector caused
problems.  I need to take the matrix product of a matrix with a vector
times its transpose; i.e., (A x) (A x)' 

I needed the following Mma syntax to get this
Outer[Times, A . x, A . x], which is ugly but okay.  But if Ax is a matrix
instead of a column vector, one needs (A.x) . Transpose[A.x] 

Is there a general way to do matrix multiplication in Mma where dimension
is considered?  I thought about it briefly, but do not know how to 
cope with the fact that one dimensional lists are neither row or
column vectors. 

Your help is appreciated.  

Phil Miller

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