( ) Find the point of intersection of the plane passing through the points P(0,-2,-6) P(-1,1,5) and P,(2, 3,-6), and the line passing through the points P.(2,-1,0) and Ps(3,-4,3)

Q: Find an equation of a plane containing the three points (5, 2, 2), (8, 7, 3), (8, 8, 5) in which the…

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Q: 1. Find an equation of the plane that passes through the points (-1, 3, -3), (4, 1, 2), and (8, 2,…

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

A: Let position vectors of point P(3,2,1) , Q(2,1,-1), and R(-1,3,2) are a→,b→ and c→

Q: Find the equation of the plane passing through the points P1 (1, 2, ─1), P2 (2, 3, 1) and P3 (3,…

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Q: 14. The plane passes through (2, 2, 1) and (-1, 1, -1) and is perpendicular to the plane 2x-3y+z=3.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 4. Find the general equation of the plane passes through the points (3,2,1) and (3,1,–5), and is…

A: We have to find the plane equation

Q: 8. Find the equation of the plane that contains the points P,(3,1,–2), P2(0, –2, 1), and P3(-2, –5,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Determine if the two planes 6x + 18y + 14z = -2 and the plane containing the points (1, –1,9), (4,…

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Q: 1. Find the equation of the plane that contains the following points. (2, –1, 4), (3, 2,0), and…

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Q: Find an equation of the plane consisting of all points that are equidistant from (0, -5, 2) and (-5,…

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Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).

A: To find the equation of the plane passing through the given points

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

A: This question can be solved using the concept of planes in three dimensional geometry.

Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…

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Q: Find an equation of the plane. The plane through the points  (3, −1, 2), (8, 4, 5), and (−2, −2, −4)

A: Equation of a plane passing through (x1,y1,z1) , (x2,y2,z2) , (x3,y3,z3) is given by:

Q: 4- Find an equation of the plane that passes through the given points (-2, 1, 1), (0, 2, 3), and (1,…

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Q: The equation of the plane containing the points (3,1,3), (4,0,-2), and (11,-5, 12).

A: Here we find the equation of plane using three points.

Q: (11) Find the equation of the plane through points P(5, –2, – 14), Q(-3, –4, 20), R(-1, –2,4).

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Q: Find the equation of the plane having the points P(1, 2,5), Q(-2, 0, 1), and R(-3,-4,1). 8x + 2y 5z…

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Q: Find an equation of a plane containing the three points (-5, 4, 3), (-6, 1, 6), (-6, 2, 8) in which…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: 19. The plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1) Answer + -4x + 3y + z = -14

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

A: We have, Vectors in the plane are, Therefore, equation of plane passes through 3 points will be,…

Q: 9. Find an equation for the plane containing the points (3,1, 4), (–1, –1,-1), and (0,2,2).

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Q: Find an equation of the plane that passes through the points P, Q, and R. P(1, 2, 3),  Q(3, 4, 5),…

A: To find:- Find an equation of the plane that passes through the points P, Q, and R.   P(1, 2, 3),…

Q: 14. Determine an equation of a plane parallel to a coordinate plane that contains the given pair of…

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Q: 5 Find the equation of the plane passing through the points A(1, 2, –3), В(2, 1, 4), С(3,0, 1).

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Q: Find an equation of a plane containing the three points (2, 0, 5), (6, 2, 8), (6, 3, 10) in which…

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Q: 1. Find an equation of the plane through the points A(0,4, 6), B(5, 1, –1) and C(2,6, 0).

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Q: Find an equation of the plane. The plane through the points  (2, −1, 3), (6, 4, 6), and (−3, −3,…

A: Let the given points are - A=(2,-1,3) B=(6,4,6) And C= (-3,-3,-3)

Q: Determine if the two planes 6x + 18y + 14z = -2 and the plane containing the points (1, –1,9), (4,…

A: First we have to find Normal vector of both planes.

Q: a) Find an equation of the plane passing through the points P=(1,–2,0),Q=(3,1,4) and R = (0, –1,2).

A: Given points are P1,−2,0, Q3,1,4, R0,−1,2. We have to find the equation of the plane passing through…

Q: Find an equation of a plane containing the three points (0, -2, 4), (3, -3, 2), (3, -2, 4) in which…

A: The equation is  :-

Q: 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

A: Given problem:- 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

Q: (a) Find the equation of the plane that contains the points (1, 3, 0), (2, 0, 1) ,and (3, −1, 3).…

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Q: 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1).

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Q: Find the equation for the plane through the points Po(0, – 3, – 5), Qo(3,1,2), and Ro(- 1,3, – 1)…

A: The given points are: P0=0,-3,-5Q0=3,1,2R0=-1,3,-1  To find the equation of the plane passing…

Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)

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Q: 2- Find un equation 6f the Plane containing the Points (0,0, 2 ), o (2,q!) (-2,3,3).

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Q: 18. Find the equation of a plane that passes through the points A(3,-1,2), B(6,4, 1) and C(2,0,-3).…

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Q: 3 Find the points of the intersection of the line x = -2, y = 4+2t, z = -3+t with the xy-plane,…

A: The given equation of lines are  x = - 2, y = 4 +2t z = - 3 + t

Q: Find an equation of the plane: The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1)

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Q: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 10), and R(1, 3, -4)

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Q: Determine if the two planes 6x + 18y + 14z =-2 and the plane containing the points (1, -1,9), (4,…

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Q: a) Find the equation of plane passing through the points (1,1,–1), (6, 4, – 5),(- 4,– 2,3)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Find an equation of a plane containing the three points (-5, -4, -3). (-10, -3, -1), (-10, -2, 1) in…

A: The given three points are -5,-4,-3, -10,-3,-1, -10,-2,1 in which the coefficient of x is 0. Find an…

Q: What is the equation of the plane containing the points (4,−3,1), (−3,−1,1) and (4,−2,8)? A. 14x…

A: Solve by eq

Q: 9. Find an equation of the plane determined by the points P(2,1,3), Q(4,2,5), and R(8,9,7).

A: Find an equation of plane determined by the points P(2,1,3),Q(4,2,5) and R(8,9, 7)

Q: 4.) a. Find the point of intersection of the line through (1,-5,1) and (5,-12,6), and the plane…

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Q: Find an equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4, –5, 2) in…

A: Given points (-3,-1,1) , (-4,-6,0) , (-4,-5,2) We have to find the equation of plane consisting…

Q: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: 3) Find an equation of the plane which contains the points P(-1,2,1), Q(1, –2, 1) and R(1,1, –1).

A: Equation of a plane passing through 3 points P(x1,y1), Q(x2,y2) and R(x3,y3) is given by,…

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.