Geometric Significance of A=e(A.e)+e x (A x e)

[neelakash]

Homework Statement

Let A be an arbitrary vector and e be a unit vector in some fixed direction.Show that
A=e(A.e)+e x (A x e)

What is the geometrical significance of each of the two terms?

Homework Equations

The Attempt at a Solution

I can show it easily.As the first term (a dot product) is the component in the e direction and the 2nd term(a cross product) is the component in the perpendicular direction.
What else geometrical significance they may be talking about?

 

[nrqed]

Homework Statement

Let A be an arbitrary vector and e be a unit vector in some fixed direction.Show that
A=e(A.e)+e x (A x e)

What is the geometrical significance of each of the two terms?

Homework Equations

The Attempt at a Solution

I can show it easily.As the first term (a dot product) is the component in the e direction and the 2nd term(a cross product) is the component in the perpendicular direction.
What else geometrical significance they may be talking about?

I think that's all they were looking for.