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ehw2_key - Math 2433 Online Summer 2012 Homework Week 2...

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Math 2433 Online - Summer 2012 Homework Week 2 Instructions Homework will NOT be accepted through email or in person. Homework must be submitted through CourseWare BEFORE the deadline. Submit the multiple choice section of the assignment at http://www.casa.uh.edu under "EMCF" and choose ehw2 . Upload the written section of the assignment at http://www.casa.uh.edu under "Assignments" and choose whw2 . 1. Find values of b such that the vectors ( ) 11, ,2 b and ( ) 2 , , b b b are orthogonal (perpendicular). a. { } 0,3,11 b = b. { } 0,2, 11 b = c. { } 0,2, 2 b = d. { } 0,3, 3 b = e. { } 0,11,2 b = f. None of these. 2. Find the area of the triangle with vertices ( ) ( ) 0,0,0 , 1,0, 1 and ( ) 1, 1,2 a. 11 b. 11 2 c. 6 d. 6 2 e. 1 f. None of these. 3. Find parametric equations for the intersection of the planes 0 x z = and 2 3 0 x y z + + = a. The line given by: , 3 3 , x t y t z t = = = b. The line given by: 2 , 1 3 , x t y t z t = − − = = c. The line given by: 1 , 6 , 1 2 x t y t z t = + = = + d. The plane given by: 3 3 3 3 0 x y z + + = e. The line given by: 1 , 6, 1 x t y z t = + = = f. None of these.
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