midrev1 - MAC 2313 SECTION 3117 REVIEW FOR MIDTERM 1 (A)...

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Unformatted text preview: MAC 2313 SECTION 3117 REVIEW FOR MIDTERM 1 (A) The test will be closed-book, and no graphic calculators will be allowed. (B) The test will consist of five word problems each worth 15 pts and five true/false questions each worth 5 pts. The total is 100 pts. (C) The following practice problems are designed to illustrate what to expect on the actual test: Mark the following statements TRUE or FALSE (a) Any three points lie in the same plane; T F (b) There is at most one plane containing three given points; T F (c) For any two vectors, a b = b a ; T F (d) Two straight lines in 3 dimensions are either parallel or intersecting; T F (e) For any three vectors, a ( b c ) = ( a b ) c ; T F (f) For any two vectors, ( a + b ) b = a b . T F (1) Find the distance between the lines l 1 : x- 1 = y = z and l 2 : x = z- 1 , y = 1. Are these lines parallel, skew, or intersecting? (2) Find an equation of the plane containing the points A = (1 , , 0), B = (3 , 2 , 1), and C = (0 , 1...
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