# exam12 - BLOCK CAPITAL LETTER corresponding to one of the...

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Name: Section Number: TA Name: Section Time: Math 10C. Midterm Exam 1 April 22, 2004 Read each question carefully, and answer each question completely. Show all of your work. No credit will be given for unsupported answers. Write your solutions clearly and legibly. No credit will be given for illegible solutions. 1. (4 points) Consider the vectors v = i - j + k and w = i + 2 j (a) Compute v · w . (b) What is the angle between v and w ? (c) Find a unit vector in the direction of v . # Score 1 2 3 4 Σ

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2. (4 points) Gilligan walks due east at 2 miles/hour on the deck of the HMS Friday as it steams due south at 12 miles/per hour. Find the speed and direction of Gilligan relative to the surface of the the water.
3. (4 points) Find an equation for the plane that passes through the points (2 , 1 , 0), (2 , 0 , 1), and (0 , 1 , 1).

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4. (4 points) Matching: Answer each of the following questions by printing the
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Unformatted text preview: BLOCK CAPITAL LETTER corresponding to one of the choices below. There is only one correct answer to each question. Unclear or illegible answers will not earn credit. You need not show your work. Let a = i-2 j + 3 k . 1. Which is a vector parallel to a ? 2. Which is a plane perpendicular to a ? 3. Which is a line parallel to a ? 4. Which is a vector perpendicular to a ? A. h , ,-2 i B. h , 1 , i C. 3 x + 17 y-z = 1 D. i + j E. h 2 ,-4 , 6 i F. 5( x-1) + 5( y + 2)-6( z-3) = 0 G. h 3 , ,-1 i H. x = 127 + t y = 1-2 t z = 13 + 3 t I. x = 1 + t y =-2 + 2 t z = 3-t J.-( x + 16) + 2( y-3)-3 z = 0...
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exam12 - BLOCK CAPITAL LETTER corresponding to one of the...

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