Question: Let u = (u 1 , u 2 ) and v = (v 1 , v 2 ) and let ||u||= 3 and ||v||= 2.

Let u = (u1, u2) and v = (v1, v2) and let ||u||= 3 and ||v||= 2.

(a) Find the smallest and the largest possible values of u . v .

(b) Find the smallest and the largest possible values of ||u v||.

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