Question: (a) If u and v have the same magnitude, show that u + v and u - v are orthogonal. (b) Use this to prove

(a) If u and v have the same magnitude, show that u + v and u - v are orthogonal. 

(b) Use this to prove that an angle inscribed in a semicircle is a right angle (see the figure).

-V

-V

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a Let u qibj and vaibj Then uvuv a ai b b ja ai bbj a aaab b b b 2 a a bb aba b 1 Si... View full answer

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