Statement I : $\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\mathrm{is}\mathrm{perpendicular}\mathrm{to}\mathrm{both}\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\mathrm{as}\mathrm{well}\mathrm{as}\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}$

Statement II : $\overrightarrow{\mathrm{A}}+\overrightarrow{\mathrm{B}}\mathrm{as}\mathrm{well}\mathrm{as}\overrightarrow{\mathrm{A}}-\overrightarrow{\mathrm{B}}\mathrm{lie}\mathrm{in}\mathrm{the}\mathrm{plane}\mathrm{containing}\overrightarrow{\mathrm{A}}\mathrm{and}\overrightarrow{\mathrm{B}},\mathrm{but}\overrightarrow{\mathrm{A}}\times \overrightarrow{\mathrm{B}}\mathrm{lies}\mathrm{perpendicular}\mathrm{to}\mathrm{the}\mathrm{plane}\mathrm{containing}\overrightarrow{\mathrm{A}}\mathrm{and}\overrightarrow{\mathrm{B}}$.

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