Vectors A→,B→ and C→ are such thatA→·B→=0 and A→·C→=0 Then the vector parallel to A→ is

Vector triple product of three vectors A→,B¯ and C¯ is  A→×(B→×C→)=(A→·C→)B→-(A→·B→)C→  Given :A→·B¯=0,A→·C→=0 ∴A→×(B¯×C→)=0  Thus the vector A→ is parallel to vector B→×C→ .