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Finding Parametric and Symmetric EquationsIn Exercises 7–12, find sets of (a) parametric equations and (b) symmetric equations of the line that passes through the given point and is parallel to the given
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Chapter 11 Solutions
Bundle: Llf Multivariable Calculus
- Exercise 1 The parametric equation of the line through the points (2, -4,1), (2, -4,1) and (0,4,-10) is: A. x = 2 – 2t; y = -4 + 8t; z = 1– 11t; B. x = 2 – 3t; y = -4 + 2t; z = 1- 10t; = 1- 2t; y = -4 + 8t; z = 5 – 5t; -00arrow_forwardDetermine the equation of the plane containing the point and the line. (-7, 10, -3), г() 3 (1 — 41,61 — 4,1 — 4) (Express numbers in exact form. Use symbolic notation and fractions where needed. Write the equation of the plane in scalar form in terms of x, y, and z.) equation: Identify which points lie on the line r. O (1, 14, – 1) O (5, –10, –5) (5, 11, –2) O (-7,8, –2) O (9, –16, –7)arrow_forwardUse a graphing utility to graph the curve represented by the parametric equations. (Indicate the orientation of the curve.) x = 4 sec(0), y = 7 tan(0) 10 10 5 -5 -5 - 10 -10 - 10 -5 5 10 -10 -5 10 10 10 5arrow_forwardExercise 1 The parametric equation of the line through the points (2,-4,1) and (0,4,-10) is: A. x = 2- 2t; y = -4 + 8t; z = 1 – 11t; B. x = 2- 3t; y = -4 + 2t; z = 1 – 10t; C. x = 1- 2t; y = -4 + 8t; z = 5– 5t; D. None of the above %3D -∞arrow_forwardLinear Algebra Find the symmetric and parametric equations of the line that passes through points A(0, 1, 2) and B(1, 2, 1).arrow_forwardWrite parametric equations of the line through the points (-6,-1,-8) and (-7,1,-3). Please use the first point as your base-point when writing the equations. 2(t) = y(t) = 2(t) = Check Answerarrow_forwardFind sets of parametric equations and symmetric equations of the line that passes through the two points (if possible). (For each line, write the direction numbers as integers.) (5, –3, -2), (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations y - 3 x-5 15 11 5 - x y + 3 z + 2 %3D 17 11 9 z + 2 11 17 5 - x z + 2 o 17 = y =arrow_forwardFind sets of (a) parametric equations and (b) symmetric equations of the line that passes through the two points (0, 4, 3), (−1, 2, 5) (if possible). (For each line, write the direction numbers as integers.)arrow_forwardFind a parametric representation of the solution set of the linear equation.x + y + z = 1arrow_forwardFind a parametric equation of the line passing through the point(3,-1,-3) and perpendicular to the line joining (3,-2,4) and (0,3,5) . (this is a question of linear algebra)arrow_forwardPlease give as much as detail as possible. Find the parametric equations of the line which passes through the point (2,0,-3) in the direction of the vector v = <0,-1,5> and find the distance between the point (-3,1,-5) and this line.arrow_forwardFind sets of parametric equations and symmetric equations of the line that passes through the given point and is parallel to the given vector or line. (For each line, write the direction numbers as integers.) Point Parallel to (-1, 0, 7) v = 2i + 3j - 6k (a) parametric equations (Enter your answers as a comma-separated list.) (b) symmetric equations %3D 6. O X + 1 2 3 7-z O 2x = = 6z 3 O X- 1 = y =arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_iosRecommended textbooks for you
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