Properties of inner products

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Theorem (Properties of Inner Products): If u, v, and w are vectors in a real inner product space, and k is any scalar, then:

Q. Find ⟨2v−w, 3u+2w⟩ given the information below.

⟨u,v⟩=2, ⟨v,w⟩=3, ⟨u,w⟩=5, ‖u‖=1, ‖v‖=2, ‖w‖=7

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