Mathegoras

Vectors and matrices › Vectors in the plane › Dot product

Weighted inner product of a sum

University · ●○○○○ 10 pts

Let ⟨u,v⟩=4u1v1+5u2v2\langle u,v\rangle = 4u_1v_1 + 5u_2v_2 for vectors u=(u1,u2)u=(u_1,u_2) and v=(v1,v2)v=(v_1,v_2) in R2\mathbb{R}^2. Given u=(3,−2)u=(3,-2), v=(4,5)v=(4,5) and w=(−1,6)w=(-1,6), find ⟨u+v,w⟩\langle u+v, w\rangle.

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inner productvector addition