Find 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. (Foreach line, write the direction numbers as integers.)PointParallel to(0, 0, 0)v - (6, 1, 4)(a) parametric equations (Enter your answers as a comma-separated list.)(b) symmetric equationsO 6x - y- 42O 4x - y= 62

Given: Point (0,0,0) Vector : v = <6,1,4> (a) The parametric equations for a line passes…

Answered: Find sets of parametric equations and…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Vectors In Two And Three Dimensions

Section9.6: Equations Of Lines And Planes

Problem 37E

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How would I go about solving this problem? Find 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: (-3, 4, 5) Parallel to: (x-1)/2 = (y+1)/-3 = z - 5 (a) Parametric equations (b) symmetric equations
Find symmetric and parametric equations of the line through the two points (−3, 5, 2) and (1, −3, 4).
Find a set of parametric equations of the line with the given characteristics. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) The line passes through the point (1, 2, 4) and is parallel to the line given by x = y = z.
Find parametric equations for the line that passes through the point (−5, 5) and is parallel to the vector <6, −8>. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)
Find 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.) (0, 0, 81), (18, 18, 0) (a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) symmetric equations 2x = 2y = 9z − 81 x 18 = y 18 = z − 9 81 18x = 18y = 81z − 9 x − 9 18 = y − 9 18 = z − 9 81 x 2 = y 2 = z − 81 −9
(a) Find parametric equations for the line that passes through the point (−3, 8) and is parallel to the vector <4, −10>. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.) (b) Find parametric equations for the line that passes through the point (−3, 8) and is perpendicular to the vector <4,−10>. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)
Find parametric equations for the line that passes through the point (−5, 5) and is perpendicular to the vector <6,−8>. (Enter your answer as a comma-separated list of equations where x and y are in terms of the parameter t.)
Equation of the plane that passes through the point (8, -6, 4) and contains the line of the given equation x/2=(y-4)/-1=z.
Determine the parametric equation of the line satisfying the given conditions. If possible, also indicate the symmetric equations. line h passing through the point (-5, 0, 8) and parallel to the line with parametric equations: x = 5 + 2t; y = 7t; and z = 1 - 4t Thanks!
Find 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.) (0, 0, 16), (12, 12, 0) (a) parametric equations (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) symmetric equations 12x = 12y = 16z − 4 x/12=y/12=(z-4)/16
Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a comma-separated list.) The line passes through the point (5, 6, 7) and is parallel to the xz-plane and the yz-plane.
Find a set of parametric equations of the line with the given characteristics. The line passes through the point (−6, 0, 8) and is parallel to the line x = 5 − 2t, y = −4 + 2t, z = 0

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