a) A vector equation of a line that goes through the points P(1, -3, 2) and Q(9, 2, 0)b) Symmetric equations of a line with direction vector d = (5, 3, -4) and z-intercept of 7.c) Parametric equations of a line that goes through P(1, 3, 5) and is perpendicular to the line (1,-2, 0) + r(1, -1, 1).d) A scalar equation of a line that goes through T(2, -5) and is perpendicular to theline 3x - 6y = 5.

As per Bartleby guidelines, if multiple questions asked at a time and specific question is not…

Answered: a) A vector equation of a line that…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 31E

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Similar questions

A) find a vector parallel to the line of intersection of the planes -3x - 2y - 2z = -1 and -4x - 2y + 4z = 6 B) show that the point (-1,1,1) lies on both planes. Then find a vector parametric equation for the line of intersection.
Determine vector and parametric equations for the line through the point (2, 1) and parallel to the line with equation (?, ?) = (3, −8) + ?(−3, −2).
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 and symmetric equations of the line ` con-taining the point P(1, −2, 3) and perpendicular to the plane Σ : 2x − y + 3z + 6 = 0.
Find a vector equation and parametric equations for the line segment that joins (−2, 4, 0) to(6, −1, 2).
Find parametric equations for the line that passes through the point (−3, 7) and is perpendicular to the vector <6,−8>.
Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)
A line passes through the point (−8,5,−4), and is parallel to the vector 4i+7j+8k. Find the standard parametric equations for the line, written using the components of the given vector and the coordinates of the given point. Let z=−4+8t. x___, y____, z_____ (Type expressions using t as the variable.)
Find the vector and parametric equations of the line through the points A = (2,4,7) and B = (−1,5,3).
(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.)
14.1 Find the equation of the plane that is parallel to the vectors 3,0,2 and 0,1,3, passing through the point (4,0,−1). The equation of the plane is = (Type an equation using x, y, and z as the variables.)
2. Find parametric equations for the line segment joining the first point to the second point. (−4,−8,5) and (−6,1,−5).

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