. In Problems 15 and 16, verify that a · (a × b) = 0 and b. (a × b) = 0. 16. a = ⁄i − ¹⁄j, b = 2i − 2j + 6k In Problems 17 and 18, (a) calculate b × c followed by a × (b × c), and (b) verify the results in part (a) by (15) of this section 18. a = 3i 4k b = i +2j - k c = −i + 5j + 8k

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