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: Find an equation of a plane containing the three points (5, 2, 2), (8, 7, 3), (8, 8, 5) in which the…
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Q: Find an equation of the plane. the plane through the points (0, 5, 5), (5, 0, 5), and (5, 5, 0)
A: use the equation of plane(formula) for finding the equation .
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 the equation of the plane passing through the points P1 (1, 2, ─1), P2 (2, 3, 1) and P3 (3,…
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Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)…
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Q: b) Show that the points A = (1, 2, 2), B = (3,4, 5) and C = (-1,0, –1) lie on a plane through the…
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Q: A plane is passing through the points A(0,1,3), B(-1,2,0) and C(3,-2,4). Find
A: The vector form of the equation of a plane is given by the expression (r→-a→)·(b→-a→)×(c→-a→)=0.…
Q: 14. The plane passes through (2, 2, 1) and (-1, 1, -1) and is perpendicular to the plane 2x-3y+z=3.
A: Hey, since there are multiple questions posted, we will answer first question. If you want any…
Q: A plane contains the point A = (- 2,5,1) and the line (x + 2)/ 3 = (y-3)/ 2 = (z + 1)/ - 4. What is…
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Q: 37. The plane that passes through poir (0, 1, 5), (2, -1, 6), and (3, 2, 5).
A: Given: 0,1,5,2,-1,6 and 3,2,5
Q: ear equation of the plane through the nts (6, 3, 2) and (4, −1, 1).
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Q: If the plane contains the points P(1, 0, 0), Q(3, 2, 0), R(0, 2, 1), W(a, 1, ), then a = -6 O-2
A: Solution: The equation of plane passing through points P1,0,0, Q3,2,0, R0,2,1 is x-y+3z-1=0
Q: Find an equation of the plane consisting of all points that are equidistant from (0, -5, 2) and (-5,…
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Q: 7. Find the equation of the plane passing through the points (1, 1, 2), (3, –1,6) and (5, 2,0).
A: To find the equation of the plane passing through the given points
Q: Find an equation of the plane. The plane that passes through the point (−2, 3, 2) and contains the…
A: This question can be solved using the concept of planes in three dimensional geometry.
Q: 10. Find an equation of the plane that passes through the points (x, y, z) = (1, 2, −1), (x, y, z) =…
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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: (11) Find the equation of the plane through points P(5, –2, – 14), Q(-3, –4, 20), R(-1, –2,4).
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Q: 2. Find the equation of the plane through the points (1, -3,2), (3,0,– 1), and (0,5,5).
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Q: 19. The plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1) Answer + -4x + 3y + z = -14
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Q: Determine the equation of the plane containing the points: P (1, 2, -3), Q (2, 3, 1) and R (0, -2,…
A: Vector equation of a plane passing through three points with position vector P→,Q→,R→is given by…
Q: Find all the planes parallel to the plane passing through the points(1, 2, 3), (1, 2, 7), and (1, 1,…
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Q: Find an equation of the plane. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)
A: Plane equations
Q: Find an equation of the plane through (1,3,–2) and the line of intersection of the two planes with…
A: Given that, Point A (1,3,-2) Two planes P1: x-y+z-1=0P2: x+y-x-1=0 We have to find the equation…
Q: ind an equation of the plane passing through the given points. (3, 1, 12), (1, -3, 18), (2, -2, 16)
A: Given points are (3, 1, 12), (1, -3, 18) and (2, -2, 16)
Q: Find an equation for the plane passing through the points Q(2, 1, –1), R(-1, 3, –1), S(3, 1, 0). 1.…
A: We know that equation of a plane is given by ax+by+cz+d=0 As it passes through (2,1,-1), we get…
Q: 5 Find the equation of the plane passing through the points A(1, 2, –3), В(2, 1, 4), С(3,0, 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 a plane containing the three points (2, 0, 5), (6, 2, 8), (6, 3, 10) in which…
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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: a) Find an equation of the plane passing through the points P=(1,–2,0),Q=(3,1,4) and R = (0, –1,2).
A: Given points are P1,−2,0, Q3,1,4, R0,−1,2. We have to find the equation of the plane passing through…
Q: Find an equation of the plane. The plane through the points (4, 1, 4), (5, −8, 6), and (−4, −5, 1)
A: ivenThe plane through the points(4, 1, 4) , (5, -8, 6) and (-4, -5, 1)we have to find the equation…
Q: an equation for the plane consisting of all points that are equidistant from the points (-6, 4, 3)…
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Q: ( ) Find the point of intersection of the plane passing through the points P(0,-2,-6) P(-1,1,5) and…
A: Thanks for the question :)And your upvote will be really appreciable ;)
Q: Z= (a) What is the equation of the plane passing through the points (2, 0, 0), (0, 2, 0), and (0, 0,…
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Q: 1 Find the plane through the points A(1,2,-), B(4,2,-2) and C(2,3,4)?
A: We are given the points : A(1,2,14) , B(4,2-2) and C( 2,3,4) Equation of a plane passing through…
Q: 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1).
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Q: 1. Find the plane through the points A(1,2,-), B(4,2,-2) and 4' C(2,3,4)?
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Q: Find the equation of the plane containing the points P = (−1, 1, 0), Q = (3,2,4) and R = (4,3,1
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Q: 3. Find an equation of the plane passing through the points P = (5,1,1), Q = (1,1,2), R = (2,1,1)
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Q: a)Find the equation of the plane in 3- dimensional space passing through the points P = (1, 2, 1), Q…
A: “Since you have asked multiple question, we will solve the first question for you. If you want any…
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 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: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 10), and R(1, 3, -4)
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Q: a) Find the equation of plane passing through the points (1,1,–1), (6, 4, – 5),(- 4,– 2,3)
A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…
Q: Find points in the Euclidean plane corresponding to the points e₁-[3,-5,-1], e2=[1,-2,2], e3 [2,1,0]…
A: By Pn , we denote the projective space of dimension n, defined as follows: Pn=Rn+1 \ {0}~, where '~'…
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: The plane containing the three points (2, –1, –1), (2, 1, 8) and (1, 0, 6). Please write th
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Q: The equation of the plane containing the points (4, – 3,1), (-3,–1,1) and (4, –2,8) is:
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