p * q

i1 : p = point {1,2,3};

i2 : q = point {-1,2,5};

i3 : p * q o3 = Point{-1, 4, 15} o3 : Point

Note that this operation is not always well-defined in projective space, e.g., the Hadamard product of the points $[1:0]$ and $[0:1]$ is not well-defined