Use the inner product represented by ⟨u,​v⟩=2wi​wS​+u2​v2​+us​vg​ in the following questions, where u=(2,l,0) and v=(l,l

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Use The Inner Product Represented By U V 2wi Ws U2 V2 Us Vg In The Following Questions Where U 2 L 0 And V L L 1 (204.28 KiB) Viewed 35 times

Use the inner product represented by ⟨u,​v⟩=2wi​wS​+u2​v2​+us​vg​ in the following questions, where u=(2,l,0) and v=(l,l,2) are the vectors of a subspace basis in R3. (1) Find ∥u∥,∥v∥,Cos(θ) and the distance between u \& v. (2) Is this an orthogonal basis? Explain your answer. Find an "orthogonal" basis using Gram-5chmidt process. At the end, show that the basis you found through Gram-Schmidt process is orthogonal.