Three vectors A→, B→, C→ satisfy the relation A→⋅B→=0 and A→⋅C→=0. The vector A→ is parallel to

A→⋅B→=0 (given) ⇒A→⊥B→A→⋅C→=0 (given) ⇒A→⊥C→A→ is perpendicular to both B→ and C→We know from the definition of cross product that B→×C→ is perpendicular to both  B→ and C→.So A→ is parallel to both B→×C→.