find an equation of the plane. The plane that passes through the point  (1, −1, 1)  and contains the line with symmetric equations  x = 3y = 4z

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: (b) Find the equation of the plane passing through the points A(2,2,1), B(9,3,6) and perpendicular…

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Q: (a) Find the point at which the given lines intersect. (2, 2, 0) + t(2, –2, 2) (4, 0, 2) + s(-2, 2,…

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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: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

A: We have to find the equation of plane.

Q: Find an equation of the plane. The plane that passes through (7, 0, −4) and contains the line x = 3…

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Q: Find the equation of the plane through the point P= (2,4, 5) and parallel to the plane - (5x + 3y +…

A: Parallel plane problem....

Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

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Q: Find an equation of the plane. The plane that passes through the point (1, 3, 5) and contains the…

A: Given linex=5t , y=1+t , z=3-tDirection vector of this linev⇀=5,1,-1coefficients of t

Q: Find an equation of the plane. The plane that passes through  (6, 0, −3)  and contains the line  x =…

A: The plane passes through a point P=(6,0,-3) and contains the line x=2-4t, y=1+5t, z=6+4t. Hence, we…

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 that crosses the x-axis at 3, the y-axis at 2, and the z-axis at 5.

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Q: Find the Cartesian equation of the plane containing the points A(4,0,4), B(1,5.5) and C(-1,-1.2).…

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Q: X-2 4 y+3 -1 z + 2 3 {3х + 2y + z + 2 %3D 0, х -у+ 2z-1 %3D 0}

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Q: 1. Find the equation of the plane that contains the line point (1,3, 2). 무 =D북3부 md the

A: Let's find.

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: (50p.) l- Find an equation of the plane through (1,3,–2) and the line of intersection of the two…

A: Given that, P1 : x-y+z=1 P2 : x+y-z=1 and Point A(1,3,-2)   We have to find Equation of Plane…

Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

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: An equation in general form for the plane passing through the point (-5, 0, 2) that is perpendicular…

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Q: Q3/ Find the equation of the plane that contains the line 3-х 2+y = 3 – z, and the point P (1, 4,…

A: Equation of the plane

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 the plane with the given description. Contains the lines r1(t) =〈2, 1, 0〉+〈t,…

A: Find the equation of plane containing two lines: r1t=2,1,0+t1, 2, 3 and r2t=2,1,0+t3, 1, 8.…

Q: Write an equation for the plane that goes through the point (-1, 1, -1) and is orthogonal to this…

A: Please refer the attached image for complete solution.

Q: Find the equation of the plane through the point (2, 4, 3) that is perpendicular to the line r = (2i…

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Q: Write an equation for the plane that contains the x-axis and the point (0, 8, 24). O 3 = x² + y? +…

A: Please refer the attached image for complete solution.

Q: Find an equation for the plane that passes through the following points. (2, –1, 4), (0, 0, 6), and…

A: Explanation of the solution is given below...

Q: Find an equation of the plane through the origin that is parallel to the plane 4x-3y+5z+13=0

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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 point (3, 0, 2) and perpendicular to the line x…

A: Given point : P3,0,2and the line L:x=9t, y=2-t, z=6+2tThe required plane passes through P and…

Q: Find an equation of the plane each of whose points is equidistant to the point H(4, 2, 5) and to the…

A: Basic 3D Geometry problem

Q: Write the equation for the plane. The plane through the point P(2, 4, 2) and normal to  n=3i +7j+6k

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Q: Find the equation of the plane that contains the line r¡(t) = (1 + lt, –1+t, 2+ 8t) and the point…

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Q: An equation of a plane P passes through the point (0,0,3) and perpendicular to the line L:x =1– 2t,…

A: Given,          An equation of a plane P passes through the point 0,0,3 and perpendicular…

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: 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 equation of the plane that contains the point A(1, 2,-4) and is perpendicular to 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: Here we will find out the required equation of plane

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 an equation for the plane that contains the x-axis and the point (0, 5, 15). O 3 = x² + y² +…

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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: 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: 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: 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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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.