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