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Math 23 60-minute Exam—September 26, 2013NAME:SECTIONNo books, notes, calculators, or other electronic devices may be used.Turn off and put away cell phones. Explain all answers fully, and putboxes around your final answers. If there is any work on the back ofthe page that you want to have considered, be sure to indicate this veryclearly on the front of the page. Leave expressions such as√2 andπinthat form. Evaluate trig functions of simple angles. Perform obvioussimplifications of answers. There are 8 problems.Problem 1/12 pointsProblem 2/12 pointsProblem 3/15 pointsProblem 4/8 pointsProblem 5/12 pointsProblem 6/14 pointsProblem 7/12 pointsProblem 8/15 pointsTotal Points/100 points1
21.  For each of the following, either say “Not meaningful,”“Scalar,” or “Vector,” depending on what it equals. Herea,b,c, anddare vectors in 3-space, and·represents dot product ofvectors.i.a×(b×c);vectorii.a·(b·c);not meaningfuliii.a·(b×c);scalar