Solving Proju(Proju(v))=Proju(v) Mathematically

[mikee]

Homework Statement

How would i go about solving Proju(Proju(v))=Proju(v) Just a note Proju(v) means the projection of v onto you

Homework Equations

The Attempt at a Solution

how would i go about solving this is mathematical terms, it is obvious when you do it geometrically but I am just not sure how i would go about doing it mathematically

 

[tiny-tim]

Hi mikee!

It should be obvious from the definition …

what definition of projection are you using?

 

[mikee]

haha ok i think I've got it i can just use the equations for the projections and if the right side equals the left side viola ha thanks