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 bothB→ 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 B→×C→ .