Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and R(-1, 2, 1).

Q: Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) =

A: Topic = Geometry

Q: Write the equation for the plane. The plane through the point P(-4, -4, 3) and parallel to the…

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Q: Find an equation of the plane. The plane through the origin and the points (1, -3, 6) and (8, 4, 1)

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Q: .Find the equation and sketch the plane that contains the points (2, 6, 1), (-4, 9, -1) and (4, 3,…

A: Equation of plane is 3x+2y+6z = 12

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: Write the equation of a plane that intersects at the coordinate axes OX and OY segments 2 and -17…

A: Given that: Intercepts of  a plane with coordinate axes: OX=2 and OY=-17and Plane passes through…

Q: Find the distance the point P(1, 6, 3), is to the plane through the three points Q(-4, 3, 1), R(-9,…

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

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Q: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

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

A: Given points P0(4,-3,3) , θ0(0,5,4), R0(1,4,3)The objective is to find the equation for the plane…

Q: b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-³), D (,0). Find the equation of the plane…

A: As per norms, we will be solving only one question. If you need an answer to others then kindly…

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

A: Given: P0-1, -5, -2, Q03, -4, 2 and R01, 1, 5

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

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Q: Find the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: Find an equation of the plane. The plane through the points (2, –1, 3), (5, 3, 6), and (-3, -3, -3)

A: We are asked to find the equation of the plane

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

A: Solution

Q: Find the distance the point P(1, -1, 4), is to the plane through the three points Q(0, -4, 0), R(-5,…

A: Topic-coardinate geometry

Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

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Q: Find the equation for the plane through the points (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

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Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

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: Q3// :- Write an equation for the plane containing points P=(1,1,-2),Q=(0,2,1), and R=(-1,-1,0)

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Q: Determine if each statement is true or false, and explain your response An equation of the plane…

A: Answer and explanation is given below........

Q: 5) The equation for the plane through A(2, 0,0), B(0,1,0), C(0,0,5) is

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Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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

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Q: Find an equation for the plane through the points (5,3,2),(1,0,1),(0,2,−2).

A: We have to find the equation of the plane through the points (5,3,2),(1,0,1),(0,2,−2)

Q: B) Find an equation for the plane through A(3,3, 3), B(5,5,5) and C(0,5,9).

A: Given the points are A(3,3,3) , B(5, 5, 5) and C(0, 5, 9) Equation of the plane passing through…

Q: Find the point, P, at which the line intersects the plane. x= 8- 2t, y = - 10+ 2t, z = 9– 3t; 10x -…

A: Substitute the point of the line in the equation of the plane and solve for t

Q: . Find the equation of the plane that contains the point of intersection of the two lines L₁: =…

A: Given problem:- . Find the equation of the plane that contains the point of intersection of the two…

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

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

A: Recall: Equation of plane passing through the intersection of planes            A1x+B1y+C1z=d1and…

Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x…

A: We have to find out the point of intersection

Q: ketch the plane representing -2x2 = -8

A: Sketch the plane representing -2x^2=-8  First Solve for x,

Q: Find equations for the planes The plane through (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

A: It is given that the plane passing through three points P2,4,5, Q1,5,7 and R-1,6,8. Equation of the…

Q: Find an equation of the plane. The plane through the origin and the points (1, -2, 7) and (8, 3, 1)…

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

A: Recall: Equation of plane passing through three points given by         a(x-x0)+b(y-y0)+c(z-z0)=0 ;…

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

A: Here the given three points Use the formula of the equation of plane passes through the three-point…

Q: Find the equation of the plane through the three points given:  P = (0,0,4) Q = (2,-3,8), R =…

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

A: The plane passing through the points P0(4,3,-4), Q0(0,-5,3) and R0(0,4,-2)

Q: Write the equation for the plane. The plane through the point P(-4, -1, -6) and perpendicular to…

A: GIVEN: Point P (-4, -1, -6)  Line x = 10 + 4t, y = 7 + 3t, z = 1 + 5t

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

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Q: PPTcicU you Find the equation of the plane containing the points (2,-3,4), (3,-1,2), and (1,-4,-5)

A: Find the equation of plane passing through the given points.

Q: Find an equation of the plane. The plane through the origin and the points (2, -1, 5) and (9, 3, 2)

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Q: Write the equation for the plane. The plane through the points P(5, 8, -33), Q(-3, -6, 19) and R(-1,…

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Q: Write the equation of the plane. The plane containing the points (6,-3,1), (5,-4,1) and (3,–4,0).

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

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Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are