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

Question

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

Infinity Learn · Accepted Answer

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→.

Three vectors $\vec{A}, \vec{B} and \vec{C} satisfy the relation \vec{A} . \vec{B} = 0 and \vec{A} . \vec{C} = 0 . The vector \vec{A} is parallel to$

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

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

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

Three vectors $\vec{A}, \vec{B} and \vec{C} satisfy the relation \vec{A} . \vec{B} = 0 and \vec{A} . \vec{C} = 0 . The vector \vec{A} is parallel to$