Equation of the plane that passes through the point (8, -6, 4) and contains the line of the given equation x/2=(y-4)/-1=z.

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 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: equation of a plane containing the three points (-3, -1, 1), (-4, -6, 0), (-4 coefficient of x is…

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Q: Equation of the plane passing through the point (3, -2, 5) and parallel to yz-plane is Do not leave…

A: The plane passing through the point (3,-2,5) and parallel to yz-plane.

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

A: Given that the plane passes through the point 18, -16, 9 and contains the line given by x2 = y-4-1 =…

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(3,4,2), Q,(-1,0, – 1), and R,(-1,-3,0). Using…

A: we have to find the equation of a plane passing through the points P0(3,4,2),Q0(-1,0,-1) and…

Q: Find an equation of the plane through the point (3, -5, 1) and parallel to the plane 4x − 5z = 12

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

A: Given problem:- Find an equation of the plane with the given characteristics. The plane passes…

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 the point of intersection of the line through (1, -3, 1) and (3, -12, 6), and the plane…

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

A: Here, to find the equation of the plane that passes through the point P14,-12,7 and contains the…

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

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Q: Find an equation of the plane. The plane through the point (5, -3, -3) and parallel to the plane 4x…

A: We can use the concept of plane in order to solve the given problem.

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

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Q: Equation of the plane passing through the point (4, –2, –1) and parallel to yz-plane is

A: To find the equation of the plane passing through the point 4, -2, -1 and parallel to yz-plane.

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

A: Given that , Point =14,-12 ,7 and line x2=y-4-1=z Find the equation of the plane.

Q: Find an equation of the plane that passes through the points (-6, 1, 1), (0, 3, 5), and (1,0, –1).…

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

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Q: The equation of a plane is given as x/2 -y/2 -z/2 = -1 it can be indicated from the plane equation…

A: The given equation of the plane is x/2 – y/2 – z/2 = –1. The given points are (2, 0, 0), (0, –2, 0)…

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: 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: Line 1: 1 - y = Z – 8 2 х — 3 4 Line 2: x=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A: To find the given questions when two lines Line1 and Line2 are given :-

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

A: Here, note that any plane through the point P(14,-12,7) is of the form:…

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

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Q: Find an equation for the plane through point (–8, –9, 3) parallel to the plane 6z + 4y – 2z = -87.…

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Q: Determine the general equation of plane I passing through the point (-4, 3,-1) and parallel to the…

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Q: an equation for the plane consisting of all points that are equidistant from the points (-6, 4, 3)…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A: General equation of a plane passing through a point P(p,q,r) is given by,…

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

A: Equation of the plane passing through x0,y0,z0 is ax-x0+by-y0+cz-z0 =0 ; where n→=<a,b,c>.

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

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

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Q: Find the equation for the plane through the points Pol- 1,5,- 3), Qo(-5,4.2), and Ro(3, -5,0). Using…

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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: (1 point) Find the point at which the line (-2, 1, –5) + t(-1,–1, –2) intersects the plane 4x – 2y +…

A: To findcthe point at which the line (-2,1,-5)+t(-1,-1,2) intersects the plane 4x-2y+2z=-68

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

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Q: 5. The line passes through the point (-4, 5, 2) and is parallel to the xy-plane and the yz-plane. 6.…

A: Solution for a: Since line passes through the point P(-4,5,2) and parallel to xy-pane and yz-plane.…

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

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Q: Find symmetric equations for the line through the point (1, -2, -4) which is orthogonal to the plane…

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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: 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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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -10, 5), and the plane given…

A: Given : the equation of a plane is  x-y+z=5  and the line passes through (1, -4, 1)  and (4, -10,…

Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

A: Find the equation of line and then find its intersection with the plane

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

A: Mi

Q: Find the point of intersection of the line through (1, -3, 1) and (3, -8, 4), and the plane given by…

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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.