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

If A→ .B→ = 0,  A→ is  perpendicular  to  B.→If  A→ .C→ = 0,  A→ is  perpendicular  to  C.→So A→   is  perpendicular  to  both  B→ and C→.Also B→ ×C→  is  perpendicular  to both  B →  and  C→Hence  A→   is  parallel  to  B→ × C→.