Wronskian for multivariate functions

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I've been reading about the wronskian and I got stuck in the following:

Suppose we are given a multivariate function describing e.g. a plane: $z = m_1 x + m_2 y + b$. How is the wronskian computed? We have here to two variables ($x,y$). How is this case dealt with the wronskian?

Best regards