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MTH 210 Study Guide - Final Guide: Mexican Peso, Coefficient Matrix, Linear Map

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19 Dec 2017

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University of Miami

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Document Summary

How to describe a line in given a direction vector & point in parametric equations & vector-form. How to describe a line in given an orthogonal vector & point in parametric equations & vector- form. Solve for x & then substitute t, for y to get parametric equations. How to describe a plane in given an orthogonal vector & point in parametric equations & vector- form. Pick arbitrary point on line & create vector since vector normal to line, Solve for x & substitute t, for y & s, for z to get parametric equations. From parametric equations, coefficients of t & s become direction vectors & constants become point on line (should be same as given point), then follow procedure for writing equation in vector-form given a point & direction vectors. How to describe a line in given 2 points.

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Related Questions

be parametric esjuations for a tb) C i v i) C intersects esactly one e ine containing the point -1.3. intersects the xy and ntion voctor to find another esqua ne line with the Korm 17) Let C be the line the ine eontaining the point a) Give parametric ejuastions for c (b) Write an equation for C in on vector to find another equa for the same 18. Let C be the line deterimined by the tt (a) Provide a vector b) Give parametricequations fore c 19. Let C be the line determined by the the points where the line + bt.to t et) eplanes. Ia-0, esplain (a) Provide a vector (b) Write an equation for C in s, determine wbether the the distance between the c. 20. We wish to find the distance from C as shown in the figure that fo dinates of points P and Pa, but we do dinates of point Q (a) Ifyuknew the measure of angle Î¸ llows Wek sect, find the point of intent know th- t.5-3,6+7. weould find the distance from point P to lanes r2()3-,4+3t,5-2 Applications ne. Explain why the vation in Washington State. She tonic wastes in one of the tank tank farm is huge, and she d is leaking. Worse yet, the tank g the tanks would req tank farm, an operation that Instead, Emmy has wells dug the tank farm, to try to trace the earth's surface is conside the bottom of the tank farm the distance is given in f taminated groundwater at (1033, 247,-55). If the w of one of the tanks and i what is the location of th the line does not ow you can distance from point P to line C even if you do ne know the measure of angle Î¸. line containing use the tech- ization for the 24. P023.5), ds(23.5) 25,Pi-1, 3, 7. d = (2,0,4) the leak? eyuivalent.6. Ptbc 53. lan is climbing Mountl He has made a secon mountain. He does n 27, P3, 1), d= (2 5) 28, p(1.3,-2, 4), d= (4,-1,5, 8) In Exercises 29-34, find an equation of the line containing the Proofs ntaning the given pair of points. Express your answer (a) as a vector p ess your an- rametrization, (b) in terms of parametric equations,and ( n 54. Let Ci and C be line symmetric form. 29. P(O,0,0), Q(4,-1,6) and P2 and Qa poin C2 if and only if P â¢P(3,-1,7), Q(5,8,-2)

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