Find an equation for the plane passing thnrough the given points: Р(- 4, — 1, — 1), Q(- 2, 0, 1). R( — 1, — 2, — 3)

Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

Q: O Find an equation for the plane Hhrought (1,-1, 3) parallel to the plane 3xay+Z=7

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the equation of the plane through the point P= (2,4, 5) and parallel to the plane - (5x + 3y +…

A: Parallel plane problem....

Q: Q2/ Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X=5+t,…

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Q: Find a plane containing the point (6, -4,-3) and the line (t) = +t 270

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Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

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Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

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Q: Find an equation for the line that is orthogonal to the plane 3x- y+ 2z =10 and goec through the…

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Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: Which of the following is the intersection point of the plane 5x- 2y- 3z=0 and X = 6+ 2t the line y…

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Q: Q1. Find the point of intersection of the lines L, and Ly whose equations are given as: L₁: (x = 1,…

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Q: 2x + 3y = 10 In the ay-plane, the graph of which of the following equations is perpendicular to the…

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Q: Find the equation of the plane with the given description. Passes through P = (3, 5, −9) and is…

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Q: Find the point​ (if it​ exists) at which the following plane and line intersect. y=−11​;…

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Q: draw the plane given by the equation  x + 2y = 6

A: To draw the plane given by the equation  x + 2y = 6

Q: Given the point P (2, 4, -1) and the line L: x 1+ 2t; y =2-5t; z 2 +3t Find the equation of the…

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Q: Find the equation of a plane through the intersection point of the lines r(t) = and 7(s)= where r, s…

A: The equation of plane is mainly given by the normal vector calculation. The normal vector to the…

Q: Find the equation where the planes 2x - 3y + z = 5 and x +y -z = 2 intersect. Write step by step.

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Q: Which of the following equations define the plane passing through the points (3,0, 0), (0, –7,0),…

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Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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Q: Find the parametric and symmetric equations for the lines with the following conditions. (a) Passing…

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Q: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

Q: Find the point o

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2, –2)…

A: The equation of the plane passing through the points (x0 , y0 , z0) and perpendicular to a vector…

Q: Find the equation of the plane with the given description. Contains the lines r1(t) =〈2, 1, 0〉+〈t,…

A: Find the equation of plane containing two lines: r1t=2,1,0+t1, 2, 3 and r2t=2,1,0+t3, 1, 8.…

Q: Write an equation for the plane that goes through the point (-1, 1, -1) and is orthogonal to this…

A: Please refer the attached image for complete solution.

Q: Given the points A(3,5) and B( – 3, – 7), find d. the scalar equation of the line.

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Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

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Q: Which of the following is the equation of the plane containing the points (2,1,2), (4,1,0) and (5,0,…

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Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

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Q: Find the equation of the plane with the given description. Contains the lines r:(t) = (2, 1, 0) +…

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Q: Find an equation of the plane each of whose points is equidistant to the point H(4, 2, 5) and to the…

A: Basic 3D Geometry problem

Q: Which of the following are equations for the plane through thepoints P(1, 1, -1), Q(3, 0, 2), and…

A: The points P1,1,-1,Q3,0,2, and R-2,1,0. We have to find the equation for the plane through these…

Q: Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t Find the equation of the…

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Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: c) Find Proj, a. d) Find the equation of the plane (Q) passes through the point Q(-2, 1,0) and is…

A: First calculate cross product of u and v.

Q: -1. Through (1,5, 2) perpendicular to 37 – J + 4k .

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: p:X=[2-t,1+2t,3] q:X=[t,-1+4t,1+21]

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Q: Which of the following is an equation for the line through the point (2, 3) and perpendiçular to the…

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Q: name a point that is contained on both s(t) and p(t) and find the equation of a plane that contains…

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Q: a) Find the equation of the plane containing the points P(3, 1, 5), Q(- 1,– 1,– 1), and R(– 2,2, 4).

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Q: Find the equation of the plane containing the following two lines: L1 : te R 1 L2 : +s. seR 1

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Q: Find the equation for the plane through Po(1,8,-5) perpendicular to the following line. x- 1+t, y= 8…

A: We have give equation of line x=1+t, y=8+5t ,z=-2t We can write this equation in symmetric from…

Q: An implicit equation for the plane passing through the point (-1, 1, -5) that is perpendicular to…

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Q: Find the point (if it exists) at which the following plane and line intersect. y = - 10; r(t) = (4t…

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Q: Let P = (2,0, –2) and l be the line given by -5 | 3 +t -3 15 3 The equation of the plane passing…

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