Q/All questions refer to points and Lines of plane PG (2,1F). Assue that the Characteristic of IF is Large enough. prove that the points (3,-1,0), (1, 0, -2), (11, -3, -4), (6,-1,-6), (4, -1, 2) (0,1, 6) are collinear.

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: 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: 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: 2) = ( (x, y, z) =

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Q: P = (1,2,3)         Q = (3,0,-1)          R = (0,-2,1) If these three points are not collinear,…

A: Given: There are three points which are: P=(1,2,3)       Q=(3,0,-1)       R=(0,-2,1) We have to…

Q: 1. Find the orthogonal trajectory for the family of straight lines passing through (-2,-3) and draw…

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Q: Plane passing through point P0 (1, 2, 1) and perpendicular to vector (1, -1, 2) Find the equation…

A: Given:  Plane D1 : passing point P0(1, 2, 1)                 perpendicular vector (1, -1, 2) Plane…

Q: 2) Calculate the distonce d of the pint ? (-l,(, -2) from the plane passing through the three A(…

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Q: The projection of the point (2, -3, 1) on the yz- plane is Select one: O (0, -3,1) ○ (2,0,1) O (2,…

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Q: If I is a line passing through the point (1, 2, 3) and perpendicular to the plane 2r+3y-== 5, which…

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Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4)…

A: Topic :- 3-D  Geometry

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: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: Find a plane containing the point (2,2,-5) and the line r(t) =<-6, -3, -7 > + < 6, -6,1…

A: Steps are explained in the image:

Q: Let A be the point with coordinates (7, 5, 3) and let B be the point with coordinates (6, 5, 4). Let…

A: We will use the basic knowledge of coordinate geometry to answer this question completely and…

Q: Let A be the point with coordinates (6, 3, 3) and let B be the point with coordinates (5, 3, 4). Let…

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Q: 3 find +he equation of Hhe plane perpendicul av bo the plane x+24+5z=|| and passing through the…

A: The given plane is,

Q: b) Let l and l2 be lines in 3 space such that 2. 4 passes through the point with coordinates (3, 4,…

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Q: x² = y² + 4z²

A: I am solving first one question due to guidelines.Since given surface is  x2-y2+4z2 ≡f(x,y,z)=0that…

Q: A plane through the three points P = (4, -3, 5), Q = (-2, -3, 5), and R= (-2, 3, -3) is described by…

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Q: Suppose the solution set of x1 + x2+2x4 What are the equations of the plane at (1,2,3,4) which is…

A: First we find direction vectors of the plane of solutions.

Q: Q2-) The parallelogram shown in figur A(2, -1, 4), B(1, 0, -1), C(1,2,3) and D. Find: a- The…

A: Note:- This is multiple sub parts question and according to our company guideline i am doing first 3…

Q: Let A be the point with coordinates (7, 6, 3) and let B be the point with coordinates (6, 6, 4). Let…

A: The main objective is to determine the distance from the point to plane.

Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

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Q: What is the distance between the point (4,-&, 1) and the plane 5x-z= 2y+5?

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