Find the plane determined by the intersecting lines. z = 1-t L1 x= - 1 +t y = 2 + 3t L2 x = 1- 4s y = 1+2s z= 2- 2s Using a coefficient of - 2 for x, the equation of the plane is

Q: Q3:Find equation of the Plane determined by the inter Sectiny (X-5+2{ ツ=ー!+& そ=C+4) (x=3-t ッ= 6+z4,…

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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: L:x=t, y=-t+2, z=t+1 L:x= 2s+2, y=s+3, z = 5s+6 Find the equation of the plane determined by the…

A: Equation of plane. Write in vector form.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: 4x + 5y = 10 x-1/5 = y+1/-4 = z-7 now make x in y form x-1/5 = y+1/-4 -4x +4 = 5y+5 4x =-5y -1 put…

Q: Find an equation of the plane. The plane through the point  (6, 0, 1)  and perpendicular to the line…

A: Given, The plane through the point (6, 0, 1) and perpendicular to the line x = 7t, y = 8 − t, z = 5…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: 3. Find the plane determined by the intersecting lines L: x = -1+t, y = 2+t, z = 1- t; L2: x = 1 -…

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: A detailed solution is given below

Q: Find an equation of the plane. the plane that passes through (8, 0, -1) and contains the line x = 5…

A: The equation of plane through a point and contains a line

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A: x - z = 2 ⇒ x = 2 + zy + 3z = 2 ⇒ y = 2 - 3zLet z = t then parametric equation for the line of…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: For the solution of the problem follow the next step.

Q: Find the plane determined by the intersecting lines. y = 2+2t y = 1+ 2s z= 1- 4t L1 x= - 1+t L2 x=1-…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given: 2x+5y=-7; x-38=y2=z-714 Let, x-38=y2=z-714=t ⇒x=8t+3; y=2t; z=14t+7

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane. the plane that contains the line x = 2 + t, y = 3 - t, z = 5 - 3t and…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find the plane determined by the intersecting lines. z =1- 3t z = 2- 2s L1 x= - 1+2t L2 x=1- 4s y =…

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Q: Find an equation of the plane. The plane that contains the line x = 3 + 2t, y = t, z = 6 - t and is…

A: We will find the equation of planes.

Q: Find an equation of the plane. The plane through the point (4, 0, 2) and perpendicular to the line x…

A: To find- Find an equation of the plane. The plane through the point 4, 0, 2 and perpendicular to the…

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: Find the plane determined by the intersecting lines. z=1- 3t z = 2-2s L1 x= - 1+2t y = 2+2t L2…

A: A plane is the two-dimensional analogue of a point, a line and three-dimensional space.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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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: 3. Find the equation of the plane perpendicular to the plane x + 2y + 3z = 11 and passing through…

A: Equation of plane passing through one point (a,b,c) and normal vector n = <A,B,C>…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: This question is related to plane and lines, we will solve it using given information.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: Q3/ Find the plane determined by the interseetiny Lines L X=1-2t, , 3-st,,そニ-2+t, La.Xe-3+t2)…

A: To find equation of plane we need to first find point and direction ratio of lines. Then find…

Q: Find the plane determined L1: x=-1+t 12: x=1-4s by the intersecting lines: y=2+t y=1+2s 2=1-1-3-1-00…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Q3: Let L be the line of intersection of the planes 3x + y -z = 4 and 5x + y + 2z = 1 Find the plane…

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Q: Find the plane determined by the intersecting lines. L1 x= - 1+ 3t y =2 +3t z =1- 4t L2 x= 1-4s y =…

A: Given :-  The plane determined by the intersecting lines. L1    :   x = -1 + 3t    ,    y = 2 + 3t…

Q: Find the plane determined by the intersecting lines. y = 2+t L1 x= - 1+t z= 1- 2t L2 x= 1-4s y = 1+…

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Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find the plane determined by the intersecting lines. y = 2 + 2t L1 x= - 1+ 3t Z = 1- 4t L2 x = 1- 4s…

A: This question can be solved using the concept of lines and planes in three dimensional geometry.

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

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Q: Find an equation of the plane. The plane through the point (-3, 7, 10) and perpendicular to the line…

A: Given:- The plane through the point (-3, 7, 10) and perpendicular to the line x = 5 + t, y = 2t, z =…

Q: Find the point at which the line meets the plane. x = - 3 + 5t, y = 3+ 6t, z = - 2 + 3t; x + y +z =…

A: Given ; Line meets plane = ?   x = -3 + 5t   y = 3 + 6t   z = -2 + 3t   Plane;        x + y + z =…

Q: Q1. Find the equation of the plane determined by the lines : L₁: (x = -2+1, y = 21 +3₁ Z=4-1), L₂:…

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Q: (i) Find the distance from the point P(-1, 2, 1) to the plane II1 : 2x + y – 3z= 4. (ii) Find an…

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Q: Find the plane determined by the intersecting lines. L1 x = - 1+t y = 2 +t Z = 1- 4t L2 x = 1- 4s y…

A: This question is about coordinate geometery

Q: Find the plane determined by the intersecting lines. y = 2+ 4t L1 x= - 1+2t z = 1- 2t L2 x= 1-4s y =…

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Q: 3. Find the general form of the equation of the plane containing the point Q(0, -2, 10) and the line…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…

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.