Find an equation for the plane passing through the points Q(2, 1, –1), R(-1, 3, –1), S(3, 1, 0). 1. 2х + 3у — 2х —9 3D 0 2. 2л — 2у — 32 + 9 3D 0 3. 2л + 3у — 2х +9 — 0 4. 2а + 2у — 32 + 9 — 0 5. 2 — 2у — 32 —9 — 0 | - 6. 2т — Зу + 2х —9 3D 0 - -

Q: Write the equation for the plane. The plane passing through the points (1,2,6), (- 1,4,0), and…

A: Finding the equation of plane

Q: Find the equation of the plane that X-3 contains the lines =y= z+1 4 and X+2= =y-5= 2 Z-3 4 2 -16x -…

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Q: Find an equation of the plane containing the point (3,0,-4) and perpendicular to the line r(t)=…

A: A detailed solution is given below

Q: (b) Find the equation of the plane passing through the points A(2,2,1), B(9,3,6) and perpendicular…

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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: Which of the following is the equation of the plane where x-2y + 32 = 3 and x+y+z=2 and passes from…

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Q: Find the equation of the plane that passes through the points P(1,2, 2), (2, -1,3), and R(4,2, 0). O…

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Q: 16.) Which of the following lines is parallel to the plane? 2x- y – 4z = 4 (a) x=2+1, y =-2-2t,…

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Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

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Q: Find the equation of the set of points located three units away from the plane -2х + бу + 3z + 1…

A: Given equation of the plane, -2x+6y+3z+1=0

Q: Find an equation of the plane. The plane that passes through the point (2, 3, 5) and contains the…

A: We need to find the equation of the plane. x=5t , y=2+t , z=3-t Plane passes through (2,3,5) the…

Q: Find an equation of a plane that passes through the points P(4,2,1), Q(-1,-2,2), R(3,1,-2) a.…

A: A plane that passes through the points P(4,2,1), Q(-1,-2,2), R(3,1,-2)

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: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A: Distance from the point P (x1,y1,z1) to the plane Ax+By+Cz=D is  d=|Ax1+By1+Cz1-D|/square root…

Q: Q10) Find the equation of the plane passing through the point P(1,-1,2) and parallel to the line x-1…

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Q: ....... Q4): A: Find the equation of the plane passing through p(2,-1,-1) and Q(1,2,3) and…

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4)…

A: Topic :- 3-D  Geometry

Q: Determine the equation of the plane passing through the points P(-2, 1, 5) and Q(4,9, -3) and R(3,…

A: To determine the equation of the plane passing through the points P(-2, 1, 5) and Q(4, 9, -3), and…

Q: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

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Q: Write the equation for the plane. The plane through the point P(3, - 4,5) and normal to n= (5,5,5) O…

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Q: Q7) The equation of the plane contains the points (3,2,1), (2,1,-1) and (-1,3,2) is 2x-9y-5z=16. * F

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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)…

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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…

A: Given P( 2, 2, -2) and planes  x+2y-3z=3 and x+y+z=2

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

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Q: Q6) Find the distance from the point to the plane. (2, -3, 4), x+ 2y + 2z 13 (0,0,0), 3x + 2y + 6z 6…

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

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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: 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: Find an equation for the plane that passes through the following points. (2, –1, 4), (0, 0, 6), and…

A: Explanation of the solution is given below...

Q: 3. Find the equation of the plane perpendicular to the plane x + 2y + 3z = 11 and passing through…

A: Equation of plane passing through one point (a,b,c) and normal vector n = <A,B,C>…

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

A: First find PQ and PR , two lines on the plane

Q: 3. Find the equation of the plane containing both the point (1, 2, 3) and the line r(t) = (t, 2t+1,…

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A: Given data: Intersecting planes are, 4x-y+z-2=02x+y-2z-3=0 Point, x,y,z=-1,4,2

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: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

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Q: The line L(t) = (2+1,8-31, 2t-6) intersects the plane 2y - 3x + 3z = -11 at the point

A: Given, the line             Lt=2+t, 8-3t, 2t-6                                   ...(1) Intersects…

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

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Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: Suppose a particle P in R' is traveling upward in a straight line which is perpendicular to the…

A: Given: Suppose a particle P in R3 is traveling upward in a straight line which is perpendicular to…

Q: The equation for the plane through P(2,-3,-8) perpendicular to the line I = 6- 5t, y = 2+3t, z = 3-…

A: We will use the vector (l,m, n) is parallel to the line with parametric equation x =a+lt y=b+mt…

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

A: To find the equation of the plane passing through the point P 2,2-2 and vertical to the line of…

Q: Find an equation of the plane. The plane that passes through the point (3, 4, 5) and contains the…

A: Calculus Question

Q: x- 2y+3z = 3 and x+y+z=2 Which is the equation for the plane passing through the point P (2,2, -2)…

A: Given equation of planes  x-2y+3z=3  ………1x+y+z=2    ……2 And the required plane is perpendicular to…

Q: Find the equation of the plane passing through the point P(1,-1,2) and parallel to the lines =Dz and…

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Q: Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

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Q: Q7) Find the equation of the set of points located three units away from the plane - 2х + бу + 3z…

A:

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.