MATH226_SI_Week3

MATH226_SI_Week3 - Kevin Le – Math 226 SI www.usc.edu/si...

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Unformatted text preview: Kevin Le – Math 226 SI www.usc.edu/si kevinle@usc.edu Week 3 §§10.5-10.6: Equations of Lines and Planes, Cylinders and Quadric Surfaces §10.5: Equations of Lines and Planes 1. A line passes through A(4, 2, -6) and B(5, 3, -2). Find the equation of the line and find its intersection point on the xy-plane. 2. Given that the line L1 is these lines are skew lines. , , and L2 is , , , show that 3. Given two planes and , determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle between the two planes and the line of interception. 4. Find an equation for the plane consisting of all points that are equidistant from A(5, -2, 1) and B(3, 4, -4). Kevin Le – Math 226 SI www.usc.edu/si kevinle@usc.edu Week 3 §§10.5-10.6: Equations of Lines and Planes, Cylinders and Quadric Surfaces §10.6: Cylinders and Quadric Surfaces 2. Sketch 3. Sketch 4. Sketch 4. Sketch 5. Sketch ...
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