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Let u = ⟨1,3⟩ and v = ⟨4,1⟩. (a) Find an exact expression and a numerical...

Let u = ⟨1,3⟩ and v = ⟨4,1⟩.
(a) Find an exact expression and a numerical approximation for the angle between u and v. (b) Find both the projection of u onto v and the vector component of u orthogonal to v.
(c) Sketch u, v, and the two vectors you found in part (b).

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