Question: Let u = i + j, v = j + k, and w = au + bv. (a) Sketch u and v. (b) If w

Let u = i + j, v = j + k, and w = au + bv.

(a) Sketch u and v.

(b) If w = 0, show that a and b must both be zero.

(c) Find a and b such that w = i + 2j + k.

(d) Show that no choice of a and b yields w = i + 2j + 3k. 

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