Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (3, 0, 2), (7, 8, 6) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. O 4x + 3 = 8y = 4z + 2 O-3x + 4 = 8y = -2z + 4 =L- 2 + 2 4 x - 3 4 x - 3 z - 2 %3D 4 z + 2 8 4

Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (3, 0, 2), (7, 8, 6) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. O 4x + 3 = 8y = 4z + 2 O-3x + 4 = 8y = -2z + 4 =L- 2 + 2 4 x - 3 4 x - 3 z - 2 %3D 4 z + 2 8 4

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

See similar textbooks

Similar questions

A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet. (a) Sketch the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin. Label the coordinates of the known points. (b) Find an equation of the semielliptical arch over the tunnel. (c) You are driving a moving truck that has a width of 8 feet and a height of 9 feet. Will the moving truck clear the opening of the arch?
VelocityThe speed of an airplane is 300 mi/h relative to the air. The wind is blowing due north with a speed of 30 mi/h. In what direction should the airplane head in order to arrive at a point due west of its location?
Sound Location Listening station A and listening station B are located at 3300,0 and 3300,0, respectively. Station A detects an explosion 4 seconds before station B. (Assume the coordinate system is measured in feet and sound travels at 1100 feet per second.) (a) Where did the explosion occur? (b) Station C is located at 3300,1100 and detects the explosion 1 second after station A. Find the coordinates of the explosion.
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 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
Find parametric equations for the line through the point (6,7,5) and parallel to the line: x-3/-2 = y+8/7 = z-4/5
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.) (3, −5, −2), (-2/5,2/5,1) (a) parametric equations (Enter your answers as a comma-separated list.)
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
B. find the parametric and symmetric equations for the line that pases by the points ___ and ___
2. Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the parametric form of the equation of the line and solve each planar equation for z.
A. Find the equation of the plane determined by the points ____ ____ ____ B. find the parametric and symmetric equations for the line that pases by the points ___ and ___
Find parametric equations of the line through the given points. (a) (2, −3, 1), (4, 2, 5) (b) (−3, −2, −2), (5, 5, 4)