Let u = (4, 2) and v = (2, 2) be vectors in R2 withthe inner product u, v = u1v1 +
Chapter 5, Problem 87(choose chapter or problem)
Let \(\mathbf{u}=(4,2)\) and \(\mathbf{v}=(2,-2)\) be vectors in \(R^{2}\) with the inner product \(\langle\mathbf{u}, \mathbf{v}\rangle=u_{1} v_{1}+2 u_{2} v_{2}\).
(a) Show that \(\mathbf{u}\) and \(\mathbf{v}\) are orthogonal.
(b) Sketch \(\mathbf{u}\) and \(\mathbf{v}\). Are they orthogonal in the Euclidean sense?
Text Transcription:
u = (4, 2)
v = (2, -2)
R^2
langle u, v rangle = u_1 v_1 + 2 u_2 v_2
u
v
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