Quadratic Form but with different vectors

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Given $x\in\mathbb{R}^n$ and $A\in\mathbb{R}^{n\times n}$ we say the expression below is a quadratic form $$ x^\top Ax \in\mathbb{R} $$ Given another vector $y\in\mathbb{R}^n$ is there a name for the following operation? $$ x^\top A y $$