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# HW9 - a 1 4 6 2 y x x b 12 8 4 2 x y y Part(2 Homework 9...

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A B C D E Math 2312 Note: There are two parts to this assignment. Part (1) is just for practice, and part (2) is Homework 9 to be turned in on Monday. Part (1) Practice problems: 1. Find a vector with initial point (-1,2) and terminal point (2,-3) 2. 2. (4 pts) Darken only the result of the vector operation on the diagram, clearly indicate direction. (a) AB AC (b) AD 2 1 3. If 3 , 2 v and j i ˆ ˆ 3 u a) Compute u v u 2 1 b) Find a vector of length 5 that is in the direction opposite to v . c) Find the magnitude and the direction angle of v. d) Compute u v u 2 1

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e) Find the angle between the vectors u and v. Round to 2 decimal digits. f) Find the projection of v onto u , and write v as the sum of two orthogonal vectors, one of which is v u proj 4. Find the inclination of the line passing through the points (-2,3) and (1,-2). 5. Find the angle between the lines 0 2 1 3 2 y x y x 6. Find the area of the triangle with vertices (-2,3), (1,-2), and (3,1). 7. Find the vertex, focus, directrix, and graph each parabola.
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Unformatted text preview: a) 1 4 6 2 y x x b) 12 8 4 2 x y y Part (2) Homework 9 Due: Monday, Aug. 2, 2010, at the beginning of class 1. Identify the conic as a circle or an ellipse. Then, find the center, radius, vertices, foci, and eccentricity of the conic, if applicable. Sketch the graph. 2 10 18 2 6 2 2 y x y x 2. Find the center, vertices, foci, and the equations of the asymptotes of the hyperbola, and sketch its graph using the asymptotes as an aid. 72 36 9 2 2 y y x 3. Given the point 1 , 3 in rectangular coordinates, convert to polar coordinates. Show only one representation in polar coordinates. 4. Given the point 6 7 , 2 in polar coordinates, convert to rectangular coordinates. 5. Convert the polar equation to rectangular form. cos 1 1 r 6. Solve the system by the method of substitution. 3 2 2 y x y x...
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HW9 - a 1 4 6 2 y x x b 12 8 4 2 x y y Part(2 Homework 9...

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