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

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To solve the equation Proju(Proju(v)) = Proju(v) mathematically, one must utilize the definition of projection. The discussion emphasizes that while the geometric interpretation is clear, the mathematical approach requires applying the projection equations. Participants confirm that if the right side equals the left side using these equations, the solution is validated. The conversation highlights the importance of understanding the projection definition in this context. Ultimately, the mathematical solution aligns with the geometric understanding of projections.
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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

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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
 
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Hi mikee! :smile:

It should be obvious from the definition …

what definition of projection are you using? :smile:
 
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
 

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