Tensor Product Properties

Two spin state are given by Ψ1=|\Psi_1\rangle = |\uparrow\rangle and Ψ2=12(+)|\Psi_2 \rangle = \frac{1}{\sqrt{2}} (|\uparrow\rangle + |\downarrow\rangle).

Which gives the correct tensor product state Ψ1Ψ2|\Psi_1 \rangle \otimes |\Psi_2\rangle?

Note: The notation =|\uparrow\downarrow\rangle = |\uparrow\rangle \otimes |\downarrow\rangle is a common shorthand for tensor products of spin states.

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