Find an equation of the plane through the three points given: P=(0,0,3), Q=(2,−3,2), R=(−1,1,0)

Q: Find the equation of the plane through (-1,4,2) and containing the line of intersection of the…

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Q: Find an equation of the plane that passes through the points A(2, 1, 1), B(-1, -1, 10), and C(1, 3,…

A: our objective is to find the equation of plane.

Q: Determine a cartesian equation of the plane through the points  P1 =(1,2,-1), P2=(0,2,-3) and…

A: Determine a cartesian equation of the plane through the points  P1 (1,2,-1), P2(0,2,-3) and parallel…

Q: Obtain the equation of the plane that passes through the points: A (2, 1, -1), B (5, -2, 0), C (0,…

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Q: find an equation for the plane through pointsP, Q, and R. P(1, -1, 2), Q(2, 1, 3), R(-1, 2, -1)

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: Find an equation of the plane that contains all the points that are equidistant from the given…

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Q: Find an equation of the plane that passes through the points M(1,2,3), N(-3,-2,5), and 0(2,-3,4).

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Q: Find an equation of the plane passing through the three points given.P = (2, −1, 4), Q = (1, 1, 1),…

A: To find the equation of the plane passing through the three pointsP =x1,y1,z1= (2, −1, 4), Q…

Q: Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 1, 3), R = (-3,…

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Q: Find an equation of the plane through the three points given: Р - (5,0, 0),Q — (9, 1, 3), R — (8,4,…

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Q: Find an equation of the plane passing through the three points given.P = (5, 1, 1), Q = (1, 1, 2), R…

A: GivenP=(5,1,1) , Q=(1,1,2) and R=(2,1,1)To find equation of plane passing through the three points.

Q: Find an equation of the plane that contains all the points that are equidistant from the given…

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Q: Find the equation of the plane passing through (0,0,-4)and perpendicular to the line joining the…

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

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Q: Find the equation of the plane pass through two points A(2.1.3) & B(-1,3,-4) & perpendicular to the…

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

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Q: find an equation of the plane passing through the three points given.  P = (2, 0, 0), Q = (0, 4, 0),…

A: Equation for plane P is written in vector form as: n.(x,y,z)=d In scalar form equation is written as…

Q: Find the Cartesian equation of the plane containing the points A(- 1,0, 1), B(2, 1, 3), C(4, – 2,…

A: topic - equation of plane through three points

Q: Find the equation of the plane passing through the point A=(2,3,-1),B=(4,5,2),C=(3,6,5).

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Q: Find the equation of the plane that passes through the points P1 = (2, 3, 1), P2 = (5, 4, 3), P3 =…

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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: Determine the equation of the plane that contains the points P_0 = (1, 0, 0), P_1 = (0, 1, 0) and…

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Q: Find an equation of the plane that contains all the points that are equidistant from the given…

A: Let the point P(x,y,z) be on the required plane which is equidistant from the given points (1, 0, 2)…

Q: Find an equation of the plane that passes through the points P, Q, and R. Р(5, —3, 4), Q(3, -5, —6),…

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Q: Find the equation of the plane passing through three points A (-1, 2, 1), B (1,0, -2) , C(1, –1,1)

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Q: Find an equation of the plane through the three points given: P = (0, 1, 0), Q = (-3, 4, – 1), R =…

A: Recall: Equation of the Plane containing three points P,Q and  R is expressed as ,            r→ .n∧…

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

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

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Q: Find the standard equation of the plane that contains three points A(1,0,-1) B(2,1,1) and C(1,2,-3).

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Q: Find the equation of plane with vertices P(1, -1, 0), Q(2, 1, -1), and R(-1, 1, 2)

A: We have to find

Q: Find the equation of the plane through the points P (1,-1, 1) Q = (3,–1,3); R= (2,1,1).

A: We will find out the required equation of plane.

Q: Find the linear equation of the plane through the point (0, 1, 1), (1, 0, 1), and (1, 1, O)

A: Consider the point (0,1,1). Take option (a) x-y-z+2=0-1-1+2=0 Take option (b) -x+y-z+2=-0+1-1+2=2≠0…

Q: Find an equation of the plane through the three points given: P= (0,0, 1) , Q =(-1,4,2), R=(-2,–2,…

A: We have to find the equation of a plane which passes through the following points -  P = (0,0,1) Q =…

Q: Find the equation of the plane that passes through the points P1 = (1, 1, 2), P2 = (2, 3, 3), P3 =…

A: The given points are:

Q: Find the equation of a plane passing through A(2,1,3), B(3, −1,5), and C(1,2, −3).

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Q: Determine the general form of the equation of the plane passing through P(2,1,-1), Q(0,-2,0) and…

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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: Find the equation of the plane through the points (1, -1, O), (1, 0, 1) and (2, 2, 1).

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Q: Write the equation for the plane through the points P(-1, 1,-12), Q(2, 8, -49) and R(1, -6, 45). 4x…

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

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Q: Find the equation of a plane through the point (3, -2, 8) and parallel to the plane z = x+ y. Leave…

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Q: Find an equation for the plane through A(0, 0, 1), B(2, 0, 0), and C(0, 3, 0).

A: The given point is A(0, 0, 1), B(2, 0, 0), and C(0, 3, 0).

Q: Find an equation of the plane through the three points given: P = (0,0, 2), Q = (-4, 1, –1), R = (2,…

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Q: Find an equation of the plane through the three points given: Р - (0,5, 0),Q — (2, 1, —4), R —…

A: The given points are P=(0,5,0), Q=(2,1,-4), R=(-1,1,-3) We have to find an equation of the plane…

Q: Find the equation of the plane passing through the points O = (0, 0,0), A = (1, -2, –5) and B =…

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

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Q: Find the general equation of the plane containing the points P1(0,0,0) P2(1,2,-1), and P3(-1,1,0)

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Q: Find the equation for the plane passing through the points P₁ = (-2,5, -2), P₂ = (-2, 0, 0), and P3…

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