Find the point of intersection for the following three planes: 3x + 4y + z + 4 =0 x + 2y + 3z +2 = 0 2x + 2y – z + 1= 0

Q: Determine whether the planes are parallel, perpendicular, or neither. Зх — 15у — 12z — 2 %3D 0 (a)…

A:

Q: Find the equation of the plane through (1,-4,2) and per pendicular to each of the planes 2x t 5y -2…

A:

Q: The equation of the plane that contains the three points (1, 2, 0), (1, 3, 1), and (3, 0, 4) is 6x…

A: Cartesian equation of a plane passing through three non collinear points A(x1,y1,z1), B(x2,y2,z2),…

Q: The diagram approximately Illustrates how the planes intersect. x+y+z+1=0 2x+2y+2z+1= 0 3x+3y+3z+1=0…

A: Given planes are,    x + y + z + 1 = 0  2x + 2y + 2z + 1 = 0  3x + 3y + 3z + 1 = 0    Thus, normals…

Q: 7. Find the point or line of intersection for each system of planes a) n, = 3x – 3y – 2z – 14 = 0 П2…

A: Cramer's rule

Q: Consider the following system. By inspection describe the geometrical relationship among the planes…

A: Divide both side of 2x+2y+2z=2 by 2Then we get x+y+z=1

Q: Which of the following is the equation of the plane where x-2y + 32 = 3 and x+y+z=2 and passes from…

A:

Q: Find the distance between these two planes x + .2y – 2z = 3 and 2x + 4y – 4z = 7 اخترأحد الخيارات а.…

A: Given: x+2y-2z=3                                                          ..12x+4y-4z=7…

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

A: Directly use the formula for the equation of plane when 3 points are given.

Q: Find the equation of the plane passing through the points O = (0,0,0), A = (-2,–2,1) and B= (-1,0,…

A:

Q: Find the intersection of the planes r + 2y - 3z 1 and x -y+ z 1 two different

A: Given: equation of planes We need to find intersection of above two planes.

Q: Determine whether the following planes below are parallel, perpendicular, or neither. 1) x+2y-6z=0…

A: Given the pair of curves , we need to determine whether the two curves are parallel, perpendicular…

Q: Find the distance between the given parallel planes: (a) 2x - 3y + z = 4 and 4x - 6y + 2z = 3 (b)…

A:

Q: Find the equation of the set of points located three units away from the plane -2х + бу + 3z + 1…

A: Given equation of the plane, -2x+6y+3z+1=0

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A:

Q: Consider three planes whose equations are given below: x – 2y + 3z = -4 2x – y + 4z = 3k x + y +z=…

A:

Q: find the point of intersection for the following 3 planes  x–2y+z+6=0 2x+y–z+2=0 2x+y+3z+2=0

A:

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

A:

Q: Which of the following points is on the xz plane? a) (1, -3, 0) b) (0, 4, 0) c) (0, 3, -2) O d) (2,…

A:

Q: X-2 4 y+3 -1 z + 2 3 {3х + 2y + z + 2 %3D 0, х -у+ 2z-1 %3D 0}

A:

Q: Find the point of intersection for the following three planes: x - 2y + z + 6 =0 2х + у — z + 2 %3D0…

A:

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

A:

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,-2)…

A:

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1, 2), C =…

A: The given points are A=(-1,0,2), B=(2,-1,2), C=(3,-3,-3).

Q: Find an equation of the plane containing the following two lines. х-5 у-4 _2-5 -1 3 -2 х-1 y-3 z-2…

A: The general equation of a plane is ax+by+cz=d where a,b,c are direction ratios(DR) of the plane.

Q: Determine whether or not the planes f1:   3x  –  y  + z – 2 =  0 f2:     x + 2y –  z + 1 =  0 f3:…

A:

Q: Determine if the three planes -x-5y-5z= 2, 4x -5y +4z = 19 and x +5y - z = - 20 have an intersection…

A:

Q: Write the equation for the plane through the points P(-1, -7, 45), Q(2, 3, -6) and R(1, -4, 33).…

A: Here we have to find the equation of the plane through the points P(-1,-7,45),Q(2,3,-6) and…

Q: Find the equation of the plane passing through the three points A = (-1,0, 2), B = (2, –1,2), C =…

A:

Q: Which of the following planes contains the z-axis?(a) z = 1 (b) x + y = 1 (c) x + y = 0

A: In 3 dimensions, the rectangular coordinate system has 3 perpendicular axes, x, y, and z. Any point…

Q: The diagram approximately illustrates how the planes intersect. x+y+z+1=0 2x+2y+2z+1=0 3x+3y+3z+1=0…

A: True

Q: Find an equation of the plane that contains all the points that are equidistant from the given…

A:

Q: Find the value of k for which the planes: 2x-ky+4z=1 and kx+y-3z%3D2 are orthogonal.

A: we have to find the value of k for which the planes 2x-ky+4z=1 and kx+y-3z=2 are orthogonal.

Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

A:

Q: Determine whether the following planes below are parallel, perpendicular, or neither. choose one v…

A:

Q: The diagram approximately illustrates how the planes intersect. x+y+z+1=0 2x+2y+2z+1= 0 2x+2y+2z+2=…

A: We have to solve given problem: Concept:

Q: Determine if the following pair of planes are parallel, perpendicular, or neither. Explain your…

A:

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A: Given data: Intersecting planes are, 4x-y+z-2=02x+y-2z-3=0 Point, x,y,z=-1,4,2

Q: Determine if the pair of planes are parallel: (a) 4x – y + 2z=5and 7x – 3y + 4z =8 (b) x – 4y – 3z –…

A:

Q: he cylinder x² + y² = 2y and the plane

A: Shift cylinder at origine as centre

Q: Find and describe the intersection of the following planes: T:3x+2y+5z-4 = 0 T: 4x-3y+=+1=0

A:

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B= (2, –1,2), C = (3,…

A: Given problem:- Find the equation of the plane passing through the three points A = (- 1, 0, 2) B =…

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

A:

Q: i) x² + 25 y² – 4x + 100y +4 = 0 - ii) x² – y2 – 6x = 0.

A: i) Given equation, x2+25y2-4x+100y+4=0 Now…

Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B = (2,–1,2), C = (3,…

A:

Q: Determine whether the following planes below are parallel, perpendicular, or neither. choose one O…

A: Solution: Given: 1. x+2y-6z=0    -6x -12y +36z = -3

Q: Determine whether the planes are parallel, perpendicular, or neither. 2x – 10y – 8z – 1 = 0 (a) | -x…

A: Given problem:- Determine whether the planes are parallel, perpendicular, or neither.   (a) 2x…

Q: find the line of intersection (if any) of the given planes. x+3y+2z - 6= 0, 2x – y + z +2= 0 O a.…

A: Answer

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.