1. Given u taj - 4k, v = 3; - 7jt sk, find uty in terms of i,j, and K. Sketch a figure. 2. Given that u= -31 + 7j - 4k, Y= 2itj-6k, find 3u-7v in terms i, j, and k. 3. Let a and b be any real numbers. Show that the Vector k is orthogonal to aitbj. of 4. Show that the vector uit 2-3k is orthogonal to avtbw where v ait aj tak, w=-i taj tk and a, b are any real numbers. Interpret this statement geometrically.

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