Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and R(-1, 2, 1).   a) 2x + y + 6z = -1   b) 2x + y + 6z = 1   c) 6x + 2y + z = -1   d) 6x + 2y + z = 1

Q: Find equations for the planes The plane through (1, 1, -1), (2, 0, 2), and (0, -2, 1)

A: Use the definition as

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 contains the point (5, 2, 7) and the line r(t) =

A: Topic = Geometry

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

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Q: Find an equation for the plane through the points (0, 3, -7),(4,12, –15), and (-3, 7, – 15). An…

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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: 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 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: 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: Find an equation for the plane through the points (3, 2, 3), (–1,2,0), (1,0, –1). The plane is

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

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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 distance from the point A(2,4,3) to the plane determined by the three points B(1,4,2),…

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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: Write the equation for the plane. The plane through the points P(5, -7, -18) , Q(-3, 8, 1) and…

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Q: X-2 4 y+3 -1 z + 2 3 {3х + 2y + z + 2 %3D 0, х -у+ 2z-1 %3D 0}

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Q: Find the equation for the plane through Po(-6,3,7) perpendicular to the following line. x = −6+t,…

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Q: Find the equation for the plane through the points Po(4.4,5), Qo(-5,-3,- 4), and Ro(-2,- 4,2). The…

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

A: Given problem:- Find the equation for the plane through the points P0 (3, - 4, - 3), Q0 (- 3, 4, 4)…

Q: Write the equation for the plane through the points P(-1, -7, 45), Q(2, 3, -6) and R(1, -4, 33).…

A: Here we have to find the equation of the plane through the points P(-1,-7,45),Q(2,3,-6) and…

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

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Q: write down the equation of the plane. a) The plane containing the two lines given by ī =…

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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 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 an equation for the plane through point (–8, –9, 3) parallel to the plane 6z + 4y – 2z = -87.…

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

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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: Find the equation for the plane through Po(-7,- 4,7) perpendicular to the following line. x= -7+t,…

A: Solution: The objective is to find the equation for the plane through the given point and…

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: 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: 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: 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: Find a standard equation of the plane and the simplified general equation of the plane containing…

A: In geometry and physics and its engineering applications, we use two kinds of quantities, scalars,…

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

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

Q: Write the equation for the plane. The plane through the point P(4, 8, 9) and perpendicular to the…

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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 the standard form equation (using variables 2, y, z) of the plane P through the points P(-6,-8,…

A: Here we find the equation of plane here.

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: Find the​ point, P, at which the line intersects the plane. x=-5-6t , y=9-8t , z=8+7t ; 2x-4y-9z=-2…

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

A: Explanation of the answer is as follows

Q: Find an equation of the plane. the plane through the origin and the points (4, -5, 2) and (1, 1, 1)

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