Chapter 11, Section 11.6, Question 043 Find the distance between the point (4, –9,5) and the plane 2x – 2y + z = 2. Enter the exact answer. Distance - Edit Click if you would like to Show Work for this question: Open Show Work

Q: Find the equation of the plane with the given description. Passes through (6, 1, 5) and is parallel…

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Q: Find a parametric representation of the line through the points P(1,-1,2) and Q(3,1,8).

A: The parametric equation of line through the points x1,y1,z1 and x2,y2,z2 is given by  x=x1+tx2,…

Q: 3. The plane in ' with equation 4x=34 %3D

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Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: b) Show that the points A = (1, 2, 2), B = (3,4, 5) and C = (-1,0, –1) lie on a plane through the…

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Q: Question 6. Find an equation for the plane which satisfies the given conditions. 1. Passes through…

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Q: Chapter 11, Section 11.6, Question 011 Find an equation of the plane that passes through the points…

A: Given :          The plane passing through the points -4,1,1 , 0,5,9, 1,0,-1 Now, Let A (-4,1,1) ,…

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

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Q: Find a parametric representation of the line through the points P(4,1,2) and Q(3,5,7)

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Q: Find an equation of the plane passing through the given points. (a) (0, 1, 2), (3, −2, 5), (2, 3, 4)…

A: I will Solve (a) for you,   Given Points are, A=(0,1,2) B=(3,-2,5) C=(2,3,4) We have to find the…

Q: Points A and B are known to lie in a plane. a. What can you say about AB? b. State the postulate…

A: Solution: Consider the given that A and B are two points in any plane  (a) According to the…

Q: Find the equation of the plane passing o= 6,0,6), through the points A= (-4,5,-2 ) and 8= (-4,0,1)…

A: Equation of plane

Q: 4. Consider the points A(1, 0, 3), B(-1, 5, 2) and C(3, -1, 1). Find the equation of the plane…

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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: In each part, name the conic section described. (a) The set of points whose distance to the point…

A: To Determine:  In each part, name the conic section described.(a) The set of points whose distance…

Q: Create one model or figure for a Klein-Beltrami model of hyperbolic geometry.

A: To create: One figure for a Klein-Beltrami model of hyperbolic geometry.

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: Parametrize the line segment joining the points P(1, 2, 0) and Q(1, 3, -1).

A: We know that equation of line passing through the points (x1,y1,z1) and (x2,y2,z2) is

Q: Let a point a = (2, 4, 5). %3D a) Find the distance from this point to the xy-plane.

A: Consider the point

Q: The Cassegrain telescope design (dating back to 1672) makes use of the reflective properties of both…

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Q: Perpendicular to i = 2ỉ - 33 + 5k and through (4, 5, –2).

A: Here is the solution of the given problem. Co-ordinate Geometry 3D - Plane.

Q: Find the distance from the point to the given plane. (1, -2, 4), 3x + 2y+ 6z= 5

A: Given : Point : 1,-2, 4 Plane : 3x+2y+6z = 5

Q: Find an equation of the plane indicated in the figure. 4 Equation: Y 4 4

A: Equation of plane contains following points, (4,0,0), (0,4,0), (0, 4,4) and (4,0,4)

Q: Find an equation of the plane P in Figure 9. 5. 3. FIGURE 9

A: To find the equation of the plane

Q: Find the coordinates of the vertices of the polygon after the given translation to a new position in…

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Q: The plane containing the point (-7,-1,0) and parallel to the plane 5x + 8y – 2z Ax+By+ Cz = D. If A…

A: Given the plane containing the point (-7,-1,0) and parallel to the plane 5x+8y-2z=-5 has the…

Q: If the image of the point (1 -2 3) in the plane 2x+3y-z=7 is the point x, y, z then the value of…

A: Let's first understand the

Q: Find the shortest distance between the point A(2, 5, –7) and the plane 3x – 5y + 6z = 9.

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

Q: Find the distance from the point to the given plane. (1, -3, 4), 3x+2y+ 6z = 5

A: Distance from point to plane formula If Ax + By + Cz + D = 0 is a plane equation, then distance from…

Q: Points in space should be given: A(1,1,0)  B(1,2,1)  C(-3,-4,2).  Calculate the coordinates of that…

A: We are given 3 points on a plane π such as A(1,1,0)  B(1,2,1)  C(-3,-4,2).  We need to find out the…

Q: Find the image of the unit cube with vertices (0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1),…

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Q: 4) Find the volues of m for which the plane in tersects the hyperbaleid of two sheets x+y?-2?= -1 in…

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Q: (0,4) (8,12.5) (6,7.5) Using the three coordinates from above, create a parabolic model H(x) in…

A: To find the equation of parabola

Q: Find the equations of planes passing through point (a,0,0) if these planes intersect one-sheet…

A: As per the question we have to find the plane which is tangential to the surface of the hyperboloid…

Q: Find the point on the plane 2x + 2y + 5z = 2 that is closest to the point P(- 3, 5, – 5). (x, y, z)…

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Q: Chapter 11, Section 11.6, Question 011 Find an equation of the plane that passes through the points…

A: Note: According to the guidelines only one question will be answered please upload other parts…

Q: Find the equation of the plane containing the x-axis and passing through the point (4,3,1/5)

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Q: The plane containing the point (-4,1,3) and parallel to the plane 4x + 7y – 3z = 2 has equation Ar +…

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

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Q: Parametrize the line segment joining the points P(-3, 2, -3) and Q(1, -1, 4)

A: we have to parametrize the line segment joining the points P(-3,2,-3) and Q(1,-1,4)   as we know…

Q: Find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5 Thank you.

A: To find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5

Q: -. Which coordinate plane is closest to the point (7, 3, 8)? Find an equation of the sphere with…

A: we have to find the coordinate plane that is closest to the point 7,3,8 and also find the equation…

Q: Find the equation of a plane containing Po (1, 2, 3) and perpendicular to n = .

A: We have to find the equation of a plane containing P0 (1,2,3) and perpendicular to n = <1, -1,…

Q: The general equation of the plane that contains the points (1, 0, 3), (-1,1,-3), and the origin is…

A: Explanation: Given that,  equation of plane ax+by+cz=0and (1,0,3), (-1,1,-3) and (0,0,0) on the…

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: Section 2.5 in Volume 3 0) 3. Find the distance the point (4, 5, 2) is away from the plane 2a 7y+ z…

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Q: The graph of (x/a) + (y/b) + (z/c) = 1 is a plane for any nonzero numbers a, b, and c. Which planes…

A: Given equation of plan is xa+yb+zc=1   ...(1) Where a, b, c≠0

Q: AJKL has vertices J(1,-3), K(4, –3), and L(3,1). Reflect AJKL across the y-axis and then rotate it…

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Q: QUESTION 4 Determine if the three planes -x-5y-5z =2, 4x-5y+4z = 19 and x +5y-z = - 20 have an…

A: given,         -x-5y-5z=2                                   eq.1         4x-5y+4z=19…

Q: The equation of the plane containing the points (4, – 3,1), (-3,–1,1) and (4, –2,8) is:

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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.