Equation of the plane passing through the point (3, -2, 5) and parallel to yz-plane is Do not leave any space in your equation.

Q: Find the equation for the plane through the points Po(1,-5, - 3), Qo(-1,1,-2), and Ro(-4,4,2). Using…

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Q: Find the equation for the plane through the points Po(-2, - 4,2), Qo(5,5,4), and Ro(5,2,3). Using a…

A: Basic algebraic equations are to be solved

Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must…

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a…

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: We need to find the equation of the plane that passes through the points - (-2,1,1) , (0,6,11), and…

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 4, 7), and (1,0, –1).…

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Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).

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Q: Find an equation of the plane through the point (3, -5, 1) and parallel to the plane 4x − 5z = 12

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

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

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

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Q: Equation of the plane passing through the point (5, 5, –3) and parallel to ry-plane is Do not leave…

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

A: Given: (-5,4,-1) and (-3,-5,0)

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Here, to find the equation of the plane that passes through the point P14,-12,7 and contains the…

Q: Find the distance between the point (0, 2, 1) and the plane 2x − 6y + 3z = 6

A: Distance between the point x1,y1,z1 and the plane ax+vby+cz+d=0is given by-d=ax1+by1+cz1+da2+b2+c2

Q: Find the equation for the plane through the points Po(1,2,4), Qo(-3, - 2,5), and Ro(- 3,1, - 4).…

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Q: Equation of the plane passing through the point (4, –2, –1) and parallel to yz-plane is

A: To find the equation of the plane passing through the point 4, -2, -1 and parallel to yz-plane.

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

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Q: Find the equation for the plane through the points Po(-1,5,2), Qo(1,3, - 1), and Ro(4,- 4,4). Using…

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Q: Find an equation of the plane. The plane through the points  (0, 1, 1), (1, 0, 1), and (1, 1, 0)

A: Plane equations

Q: Find the equation of the plane that passes through (2, 1, 1), (1, 4, 1) and (-2, 0, 4). Put the…

A: Given, The points 2,1,1, 1,4,1 and -2,0,4  We have to find the equation of the plane passing through…

Q: Find the equation for the plane through the points Po(- 5,3, - 5), Q, (2,4,0), and Rg(3,2, - 1).…

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

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Q: Find the equation for the plane through the points Po(-2, - 3, – 2), Q,(4,0, – 4), and Ro(3, – 3, –…

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Q: point P(1, 1, –3) and orthogonal to the plane 3y – 4x + 2z = 3. |

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Q: Find equation of plane that contains the points (-1, 2, 1), (0, -3, 2), and (1, 1, -4)

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Q: an equation for the plane consisting of all points that are equidistant from the points (-6, 4, 3)…

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Q: Find the equation for the plane through the points Po(0,2, – 5), Qo( - 4,1, – 4), and Ro(5,4, – 3).…

A: plane passing through the points P00,2,-5, Q0-4,1,-4 and R0=5,4,-3

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.

A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…

Q: Find the equation for the plane through the points Po(-1,-5,4), Qo(- 4,2,0), and Ro(3, - 5,2). Using…

A: Equation of the plane passing through x0,y0,z0 is ax-x0+by-y0+cz-z0 =0 ; where n→=<a,b,c>.

Q: Find the equation for the plane through the points Po (0, – 5,5), Qo(- 4,0, –- 2), and Ro(- 2,0, –…

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Q: Find the equation for the plane through the points Pol- 1,5,- 3), Qo(-5,4.2), and Ro(3, -5,0). Using…

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Q: How to find an equation of a plane through a specific point such as (3,0,3)?

A: There can be infinitely many planes passing through one point and hence you can not find an equation…

Q: (1 point) Find the point at which the line (-2, 1, –5) + t(-1,–1, –2) intersects the plane 4x – 2y +…

A: To findcthe point at which the line (-2,1,-5)+t(-1,-1,2) intersects the plane 4x-2y+2z=-68

Q: Find the equation for the plane through the points Po(0, - 5,5), Qo(- 4,0, – 2), and Ro(- 2,0, - 4).…

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Q: Find symmetric equations for the line through the point (1, -2, -4) which is orthogonal to the plane…

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Q: Find an equation of the plane through the points (2, 1, 2), (3, -8, 6), and (-2, -3, 1) . Show all…

A: Given plane passing through given three points

Q: Equation of the plane that passes through the point (8, -6, 4) and contains the line of the given…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: Equation of the plane passing through the point (3, –2, 5) and parallel to yz-plane is

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Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7

A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…

Q: Find an equation of the plane consisting of all points that are equidistant from (-1, 3, 2) and (2,…

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Q: Find an equation of the plane. The plane through the point (7, –2, –8) and parallel to the plane 6x…

A: We will solve the following.

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A: Given : the equation of a plane is  x-y+z=5  and the line passes through (1, -4, 1)  and (4, -10,…

Q: find the equation of a sphere passing through the point(1,-3,4),(1,-5,2),(1,-3,0) and having on the…

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

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Q: Find the equation for the plane through the points Po(4, - 3, - 5), Qo(-4, - 3,4), and Ro(- 1,1,5).…

A: Mi

Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 4, 7), and (1,0, –1).…

A: The plane that passes through the point,       -2,1,1, 0,4,7 and 1,0,-1