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blueexam1.07f - blue MATH 32A Exam 1 LAST NAME FIRST NAME...

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blue MATH 32A Exam 1 October 23, 2007 LAST NAME FIRST NAME ID NO. Your TA: To receive credit, you must write your answer in the space provided . DO NOT WRITE BELOW THIS LINE 1 (40 pts) 6 (20 pts) 2 (10 pts) 7 (20 pts) 3 (20 pts) 8 (30 pts) 4 (20 pts) 9 (20 pts) 5 (20 pts) TOTAL
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2 PROBLEM 1 (40 Points) Let v = a 1 , 2 , 1 A , w = a 1 , 1 , 1 A Let θ be the angle between v and w . Calculate the quantities (A)-(D). (A) v · w = . (B) cos θ = . (C) v × w = . (D) The volume of the parallelepiped spanned by the vec- tors k , v and w . Volume =
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3 PROBLEM 2 (10 Points) Is the z -component of the cross product w × v positive or negative? w v x x y z Answer :
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4 PROBLEM 3 (20 Points) Find parametric equations of the line through the point P 0 = (4 , 3 , 2) parallel to v = a 1 , 1 , 1 A . Answer :
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5 PROBLEM 4 (20 Points) (A) Determine the type of the quadric surface: p x 3 P 2 + p y 4 P 2 = p z 5 P 2 1 Answer : (B) What type of conic section is obtained when the quadric surface is intersected with the plane x = 6?
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This test prep was uploaded on 04/22/2008 for the course MATH 32A taught by Professor Gangliu during the Winter '08 term at UCLA.

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blueexam1.07f - blue MATH 32A Exam 1 LAST NAME FIRST NAME...

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