Assertion : \[\vec{A}\times \vec{B}\] is perpendicular to both \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}.\] Reason : \[\vec{A}+\vec{B}\] as well as \[\vec{A}-\vec{B}\] lie in the plane containing \[\vec{A}\] and \[\vec{B}\], but \[\vec{A}\times \vec{B}\] lies perpendicular to the plane containing \[\vec{A}\] and \[\vec{B}.\]

• A.   If both assertion and reason are true and the reason is the correct explanation of the assertion.
• B.   If both assertion and reason are true but reason is not the correct explanation of the assertion.
• C. His watch is set correctly
• D.   If the assertion and reason both are false.
• E.   If assertion is false but reason is true.