Write the equation for the plane. The plane through the points P(5, 8, -33), Q(-3, -6, 19) and R(-1, 7, -13). 3x + 2y + z = -2 3x + 2y + z = 2 2x +y+ 3z = 2 2x +y+ 3z = -2

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

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

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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: 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: 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: Consider the points P3 (а, - 4, - 4) Q=(-5, – 4, – 5) R=(- 1, - 1,- 3) a) Find the value of "a" so…

A: The plane passing through the point x1,y1,z1 and having a normal vector n=a,b,c can be represented…

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: Please help with the following math question: Find the equation of the plane that passes through…

A: Given:  P=(−1, −5, 4),Q=(−5, −4, 2), and R=(2, 1, −1) To determine: The equation of the plane…

Q: Which of the following are equations for the plane through thepoints P(1, 1, -1), Q(3, 0, 2), and…

A: The plane passing through the points P1, 1, -1, Q3, 0, 2 & R-2, 1, 0. Equation of a plane…

Q: 26. b) Given four points A(-2, 0, -3), B (1, -2, 1), C (-2,-3,2), D ,0). Find the equation of the…

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Q: Q4 /A// Determine the equation of the plane that contains the points P1 =(2, 1, -1) „P2= (3, 1, 4),…

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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: 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: 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: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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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: 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: 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(1,3,4), Qo(3, - 5, - 3), and Ro(1,1, - 5).…

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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 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 of the plane that contains the point (−2, 3, 1) and the line +t.

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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: Let A(2,1,3), B(3,3,5), and P(1,3,6) be points. a. Find the equation of the plane which passes…

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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 an equation for the plane that contains the x-axis and the point (0, 5, 10). O z = 5x + 10y O…

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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: Q2. Sketch the three points on 3-D coordinates. Then Find equation of the plane has P1 (3, 2, 1), P2…

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x axis, y axis…

Q: Q2. Sketch the three points on 3-D coordinates. Then Find equation of the plane has P1 (3, 2, 1), P2…

A: Given points P1 =(3,2,1)P2=(2,1,-1)P3=-1,3,2

Q: - Find the equation of the plane that passes through the three points A(1,0,0), B(0,2,0), and C(0,0,…

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Q: Write the equation for the plane through the points P(-1,6, - 61), Q(2, - 8,66), and R(1,- 7,53). O…

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Q: a) Find the equation of the plane containing the points P(3, 1, 5), Q(- 1,– 1,– 1), and R(– 2,2, 4).

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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: Write an equation for the plane that contains the x-axis and the point (0, 6, 12). O x = 2y O z = 6x…

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

A: Given, The points are P (1, 2, 3), Q(2, 3, 4), R(3, 6, 9).

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