Find an equation of the plane passing through the given points. (2, -2, 19), (5, 1, 13), (4, -3, 18)

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: 1. Find an equation of the plane that passes through the points (-1, 3, -3), (4, 1, 2), and (8, 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: Find an equation for the plane that contains the points P(2,6,0), Q(-2,3,5), and R(7,3,4).

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

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Q: Find the equation of the plane through the points (2,-1,3), (2,0,–-1),and (0,7,2).

A: Given that three points and we find that equation of plane . Here i attached solution of this…

Q: Find an equation of the plane passing through the given points. (7, 5, -5), (7, -5, 5), (-7, -5, -5)

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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 for the plane that passes through the following points. (2, −1, 3), (0, 0, 5), and…

A: Given,          The plane that passes through the following points (2, −1, 3), (0, 0, 5), and (5, 6,…

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 passing through the given points. (a) (0, 1, 2), (3, −2, 5), (2, 3, 4)…

A: I will Solve (a) for you,   Given Points are, A=(0,1,2) B=(3,-2,5) C=(2,3,4) We have to find the…

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 the equation of the plane passing o= 6,0,6), through the points A= (-4,5,-2 ) and 8= (-4,0,1)…

A: Equation of plane

Q: Find an equation of the plane with the given characteristics. The plane passes through (-2, -3, 4),…

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Q: Find the equation of a plane passing through ?(2,1,3), ?(3, −1,5), and ?(1,2, −3)

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Q: Find the equation of a plane passing through (2,1,3), (3, –1,5), and (1,2, –3).

A: Equation of plane

Q: Find the equation of the plane passing through the points a. (-4,-1,-1); (-2,0,1); (-1,-2,-3) b.…

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

A: Given:3,2,1, 2,1,-1   and -1,3,2

Q: Find an equation for the plane through the points (5,4,5),(−2,0,−1),(0,1,2).

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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 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 passing through the given points. (3, 9, -9), (3, -9, 9), (-3, -9, -9)

A: Here given that three point.. So first wrote the standard equation of plane.. Then find a, b, c…

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 equation of the plane containing the following 3 points. (-1,2, –3), (4,0,9), (-3, 1,7)

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Q: 3. Find an equation of the plane passing through the points (-1,2,0), (2, 3, 6), and (-1, 5, 2).

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Q: Find the equation of the plane passing through the three points ?=(−1,0,2),?=(2,−1,2),?=(3,−3,−3).

A: We know that, the equation of a plane passing through three non-collinear points…

Q: 2. Find the equation of the plane through the points (1,–3,2), (3,0,–1), and (0,5,5).

A: The solution is given as follows

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 an equation of the plane. The plane through the points (0, 6, 6), (6, 0, 6), and (6, 6, 0)

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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: 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 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 linear equation of the plane through the origin and the points (6, 4, 2) and (6, –1, 1).

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

A: Here we will find out the required equation of plane

Q: Find an equation of the plane that passes through the point (18, -16, 9) and contains the line given…

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Q: Find an equation for the plane through the points (4, 2, 2), (1, 2,0), (-1,0,2).

A: given 3 points are x1, y1, z1=4,2,2 x2, y2, z2=(-1,0,2) x3, y3, z3=(-1,0,2)

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

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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 (0,5,0), (1,3, –2), and (-3, 4, 2).

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Q: Find the equation of the plane passing through the points O = (0,0,0), A = (2,2, –4) and B = (-4,0,…

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

A: find the equation of the plane