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## Homework Statement

Hi, I got tied up with something..

I have a question that says if a projection P satisfies || P v || <= || v ||

then P is an orthogonal projection.. but if I drew in |R^2, a x-axis and a y=x line, and projected some vector onto the y = x line.. I still get || Pv || <= || V || ? I think Iam doing something wrong

thanks