(a) Let 7₁,.. ‚Ñn,√n+1 € Rª be a collection of vectors such that if i ‡ j 2 = 0. Show that at least one of the vectors i

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A Let 7 Nn N 1 Ra Be A Collection Of Vectors Such That If I J 2 0 Show That At Least One Of The Vectors I 1 (39.89 KiB) Viewed 42 times

(a) Let 7₁,.. ‚Ñn,√n+1 € Rª be a collection of vectors such that if i ‡ j 2 = 0. Show that at least one of the vectors is 0. Vi • Vj (b) Let 7₁, , Un E Rn be a collection of non-zero vectors such that if i ‡ j Vį • Vj W₁, W₂ € Rn be such that for i = 1, . . ., n, V¡ · W₁ = V₁ · W₂. Show that w₁ = w2. = 0. Let