Question: . Consider vectors u = 1, 4, 7 , v = 2, 1, 4 , w = 0, 9, 18 , and p = 0,

. Consider vectors u = 1, 4, 7 , v = 2, 1, 4 , w = 0, 9, 18 , and p = 0, 9, 17 .

a. Show that u, v, and w are coplanar by using their triple scalar product

b. Show that u, v, and w are coplanar, using the definition that there exist two nonzero real numbers and such that w = u + v

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