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3. (a) Show that A.(BXC) = (AXB).C (5) (b)Let A = 1+ 2j+ 3k B = 41+ 5j+ 6k C = 71+ 8j+ 9k show

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3. (a) Show that A.(BXC) = (AXB).C (5) (b)Let A = 1+ 2j+ 3k B = 41+ 5j+ 6k C = 71+ 8j+ 9k show that without much computation A.(BXC) = 0 (Hint: (AXB).C represents parallelopiped volume) (5) (c) Consider a vector A = x2i-y2j. Determine the (i) divergence and (ii) curl of A

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