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

• A

  If both statement I and statement II are true and statement II is the correct explanation of statement I.
   

• B

  If both statement I and statement II are true but statement II is not the correct explanation of statement I.
   

• C

  If statement I is true but statement II is false.
   

• D

  If both statement I and statement II are false.