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).

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: The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). The line L passes through the…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: Find the equation of the plane that X-3 contains the lines =y= z+1 4 and X+2= =y-5= 2 Z-3 4 2 -16x -…

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Q: 6. [8.5] Consider the points A(1, 3, 1), B (2, 1, 0), and C(5, 1, 1). Determine the Cartesian…

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Q: Find an equation of the plane that is parallel to the line of intersection of the planes x-y+ 2z = 3…

A: To find an equation of the plane that is parallel to the line of intersection of the planes x - y +…

Q: I find the equation of the plane passing through the three point. (1,2,3) (2,-3, 4), (1,1,7),

A: We have to find a equation of plane passing through the given three points.

Q: Q7) The equation of the plane contains the points (3,2,1), (2,1,-1) and (-1,3,2) is 2x-9y-5z=16. * F

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Q: What is the equation of the plane through the three points (1, 2, -2), (3, 2, 1), (5, 1, -4)? A B…

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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: 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: V(1, 1, 4) 1, 1, 4)| is increasing most rapidly at the point (1, 1, 4) Calculate the direction in…

A: We have to solve the problem

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: 2) Find the point of intersection of the plane x - 5y + 3z = -127 and the line r(t) = (-2,-8, 7)t +…

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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.