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yidiz

Both property 4 and 5 can be proved geometrically using similar triangles

nsp

I see this for 4. How will you show 5 with similar triangles?

yidiz

Oh Sorry! I made a mistake there, where I thought u and v are pointing in the same direction. The right way would be calculating the area of parallelograms I think

nsp

One thing you might try is breaking u and v into components along w and perpendicular to w, making an argument for these components separately, and then putting them all back together.