Suppose O is an alternative division algebra that is quadratic over some subfield K of its center Z(O). Then with (O,K), there is associated a dual polar space. We provide an explicit representation of this dual polar space into a (6n + 7)dimensional projective space over K, where n = dimK(O). We prove that this embedding is the universal one, provided |K| > 2. When O is not an inseparable fiel...