Use the weighted Euclidean inner product on R2 ‹u, v› = 99u1v1 + 5u2v2 where u = (u1, u2) and v = (v1, v2), to find ||w||, where w = (− 1, 3).

Kaycee Roche 2020-12-06 Answered

Use the weighted Euclidean inner product on R2 u, v = 99u_1v_1 + 5u_2v_2 where u=(u1,u2) and v=(v1,v2), to find ||w||, where w = ( 1, 3).

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Expert Answer

Jaylen Fountain
Answered 2020-12-07 Author has 170 answers

The weighted Euclidean inner product on R2 is given by (u,v)=99u1v1+5u2v2
where u=(u1,u2) and v=(v1,v2)R2. Let w=(-1,3). Then ||w||2=(w,w)=((1,3),(1,3))=99(1)(1)+533=99+45=144=122
Therefore ||w||=12

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