Consider the following 2 planes: SEE IMAGE a) Explain/Show that the 2 planes are not parallel. b)  find the parametric equation of the line of intersection of the two planes.

Q: Q1) consider a plain (M) that contains the three points A(1,-1,1), B(2,3,0), and C(0,1,-2) a Find…

A: Given that A1,-1,1, B2,3,0, C0,1,-2 (a) The objective is to find the equation of the plane,…

Q: Find an equation of a plane making an angle of π/2 with the plane 3x + y − 4z = 2

A: Here we have to find the equation of plane  making an angle of π/2 with the plane 3x + y − 4z = 2

Q: The following parametric equations x = 1 + 21, y=-3+5t, represents line L, and is parallel to a…

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Q: 8. ( Determine whether the following two planes are intersect or not. If they intersect, find the…

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Q: Qestion 2 a). Use vector projection to explain the distance in part (iii) equation b). find the…

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Q: A particle traveling around the circle (x-2)^2 + (y-1)^2 = 49. Write parametric equations for each…

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Q: Part A Find the parametric equations of the line of intersection of the following planes: T1: 5x +…

A: Find the point of parametric equation of the line of intersection, and angle between two planes

Q: O Find the parametric equation of the line through the point (-3,1,6) parallel to the vector V 2i +…

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Q: Find a set of parametric equations of the line. (Enter your answers as a comma-separated list.) The…

A: We need to find parametric equation of line.

Q: 4. Describe how you can tell from the scalar equations if two planes are a) parallel and distinct or…

A: a) Given that, two planes are parallel, distinct or coincident. The general form of an equation of a…

Q: A)Find the equation of the XZ plane. B)Finde the equation of the plane ,each of whose points is…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answer as…

A: THE GIVEN LINE IS, x=y=z WE CAN REWRITE IT AS, x-01=y-01=z-01 SO, THE DIRECTION RATIOS FOR THE LINE…

Q: Consider the plane with equation x + 2y + 2z - 60. Determine the point on the plane that is closest…

A: The given plane is,Compare this equation with So here we have,

Q: Consider three planes P, Q and R in R3 (a) Explain in words what the intersection of P, Q and R can…

A: Let P, Q, R be the 3 planes in space. We have to study the cases of the intersection of them.

Q: Consider the following 2 planes: ?1: 2? − ? − 4? − 4 = 0                   ?2: 4? − 2? − 3? = 3…

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Q: (a) The following figure represents line L. i) ii) iii) Find r, of line L. Ans: r.-(0,4) or (2.0) A…

A: Note:-ince you asked multiple questions, according to our policy we can solve only the first…

Q: A second car also leaves at noon and drives in a southwesterly direction. At 2 pm, its location…

A: Given

Q: (c) Explain the geometric relationship between the answer found in part (a) and the plane passing…

A: here we will use geometry of cross product to find relation