assig2_2011

assig2_2011 - (b) Find the coordinates of any point (your...

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Math 152, Spring 2011 Assignment #2 Notes: Each question is worth 5 marks. Due in class: Monday, January 17 for MWF sections; Tuesday, January 18 for TTh sections. Solutions will be posted Tuesday, January 18 in the afternoon. No late assignments will be accepted. 1. Do the following computations by hand showing your work (you can check your result using MATLAB). (a) Compute the cross product [1 2 3] × [1 -1 -4]. (b) Use the definition to find the determinant of the matrix 2 1 2 2 1 3 3 - 1 - 3 . 2. Consider the plane 2 x - y + z = 1. (a) What is the normal direction to the plane?
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Unformatted text preview: (b) Find the coordinates of any point (your choice) on the plane. 3. Find the intersection point of the line with parametric form below (1 , , 1) + t (2 , 1 ,-1) and the plane x + 2 y-3 z = 5 . 4. The planes x + 2 y-3 z = 2 and 2 x-y + z = 7 intersect in a line. Find a parametric representation of this line. 5. Consider the plane P dened by x + 2 y-3 z = 1. (a) Show that the point (1,2,3) is not on the plane P . (b) Find the point on P that is the closest to (1,2,3)....
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