equation of the plane that passes through the point (1.4.2) and contains the line of the intersection of the planes 4x=y+z-2=0_and 2x+y-2z-3%3D0 اختراحد الخيارات a 3x-11y+5z 6-0 b -9x+2y-32+7=0 c 4x-13y 212-14-0 d. None of the above e x+Zy-8z-16-0

Q: Find an equation of the plane. The plane that passes through the point (−2, 1, 3) and contains the…

A: Given that, Two planes are following, x + y - z = 2 3x - y + 4z = 3 And the point is following, (-…

Q: Find the equation for the plane through the points Po(-2, - 4,2), Qo(5,5,4), and Ro(5,2,3). Using a…

A: Basic algebraic equations are to be 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 plane determined by the intersecting lines. L1 x= - 1 + 3t y =2+4t z=1-t L2 x= 1- 4s y = 1+…

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Q: REE - Oct. 1996 13. Find the equation of the plane passing thru the points P(2, -3, 1), P'(5, -3,…

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Q: Choose the line which is completely on the plane 2x+3y-4z= 12. Select one: x-1+3t, y= 1+3t, z 2+2t,…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: Formulate the equation of plane in space that contain two points (2,4, -1) and (1,3, -2) and…

A: Steps 1. Write down the position vector a→ and b→ through which the plane is passing. 2. Equation of…

Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

A: Given  P1 = (10,-8,5) From equation we have point passing through line and parallel vector

Q: Find the equation for the plane through the points Po(- 4, -2, – 5), Qo (0,1,2), and Ro(4,3, – 1).…

A: The given points are :    P0 (-4,-2,-5) , Q0 (0,1,2) , and R0 (4,3,-1)      The vector equation of…

Q: Find the equation for the plane through the points Po(1, – 5, – 3), Qo(-3, – 5, – 1), and Ro(-…

A: -5x+4y-10z=5

Q: Find an equation of the plane passes through the points P(-3,-4, 2), Q(-3, 4, 1) & R (1, 1, -2)…

A: We need to find the equation of plane passing through points P,Q and R.

Q: Find an equation of the plane with the given characteristics. у — 4 The plane passes through the…

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Q: Find equations for the planes. Knowing that the plane through the point PO (0, 2, -1) normal to.…

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Q: Find an equation of the plane with the given characteristics. = The plane passes through the point…

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Q: the xyz-plane determine the distance and angle from point (2,1,1) in the space and two planes…

A: The distance between point Px1,y1,z1 and the plane Ax+By+Cz+D=0 is  d=Ax1+By1+Cz1+DA2+B2+C2

Q: Find the area of the surface x^2-2y-2z =0 that lies above the triangle bounded by the lines x=2,y=0…

A: From the given equation. 2z=x2-2yz=x2-2y2z=x22-ydzdx=x, dzdy=-1 From the limits x limits from 0 to 2…

Q: Find an equation of the plane. The plane that passes through the point  (−2, 1, 3)  and contains…

A: Question : Find an equation of the plane.   The plane that passes through the point  (−2, 1, 3)  and…

Q: 52. The plane passing through the point P,(0, 2, -2) that is parallel to the plane 2x + y-z= 1

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Q: Find an equation of the plane. the plane through the point  (8, −3, −4)  and parallel to the plane…

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Q: 17) An equation of a plane passing through the point ( 1, -2, 3) and containing the line L: x = 3 –…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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

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Q: Steepest ascent on a plane Suppose a long sloping hillside is described by the plane z = ax + by +…

A: Given function fx,y=ax+by+c is differentiable. Obtain the gradient.…

Q: Three planes fly in specific directions as shown below. Is there a possibility of a collision…

A: If any two planes collide, then, they will be at a same point at collision, i.e., there coordinates…

Q: n equation of the plane with the given characteristics. y – 4 The plane passes through the point…

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Q: Find the coordinates of a point that is located five units in front of the yz-plane, three units to…

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Q: Find an equation of the plane. The plane through the points  (0, 1, 1), (1, 0, 1), and (1, 1, 0)

A: Plane equations

Q: 17. projection of the line Find the equation of the 3x-y + 2z-1=0 = x +2y-z-2 on the plane 3x +2y +…

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Q: Find the equation for the plane through the points Po(- 5,3, - 5), Q, (2,4,0), and Rg(3,2, - 1).…

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Q: the

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Q: Find the equation for the plane through the points Po(-2, - 3, – 2), Q,(4,0, – 4), and Ro(3, – 3, –…

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Q: Find parametric equations of the line of intersection of the two planes. 9x + 8y - 9z = -3, -7x -…

A: According to the problem, we have

Q: Find the intersection of the two planes with equations 3(x – 1) + 2y + (z + 1) = 0 and (x – 1) + 8y…

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Q: nd an equation of the plane. The plane through the points (0, 4, 4), (4, 0, 4), and (4, 4, 0)

A: Given A0,4,4 B4,0,4 C4,4,0

Q: Find the coordinates of the point. The point is located in the yz-plane, seven units to the right…

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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: 6. Determine the point of intersection of the line l: = [-6,9,–1] + t[-2,3,1], t € R. and the plane,…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (2,…

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Q: The plane perpendicular to the x-axis at (–2,0, 0) : The plane perpendicular to the y-axis at (0,…

A: the equation is  (x1,y1,z1)=passing points a(x-x1)+b(y-y1)+c(z-z1)

Q: Determine an equation for each of the line described below: (A) Passing through the point (2, -3,…

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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 the line of intersection of the two planes. j) Find the line of intersection of the plane given…

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Q: Find the intersection of the two planes with equations 3(x - 1) + 2y + (z + 1) = 0 and (x - 1) + 8y…

A: The equation of the given planes are  3(x - 1) +2y + (z +1)=0...... (1) (x - 1) + 8y - (z +1)=…

Q: Equation of the plane that passes through the point (8, -6, 4) and contains the line of the given…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point…

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Q: Equation of the plane passing through the point (3, –2, 5) and parallel to yz-plane is

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Q: 6. Find a parametric representation of the line of intersection of the two given planes. 2x+ y- z= 6…

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Q: Find the equation for the plane through the points Po(0, – 3, – 5), Qo (3, – 3, – 1), and Ro(5,2,0).…

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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.