Find an equation of the plane that passes through the point (1,-1,1) and contains the line of intersection of the planes x+y-z=2 and 2x-y+3z=1

Q: Find the equation of the plane through (-1,4,2) and containing the line of intersection of the…

A:

Q: Determine an equation for the unique plane that passes through the points P(0,0, 2), Q(0,4, 0), and…

A: Given points are P(0,0,2), Q(0,4,0) and R(8,0,0). Find an equation for the unique plane that passes…

Q: Find the equation of the plane passing through the points (1,0, -1), (-1,2,1) and parallel to the…

A:

Q: Find the equation of the plane containing the line of intersection of the two planes z+y+z+5=0 and…

A:

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

A: This question is related to planes. We will solve this question by using property of plane

Q: Find an equation of the plane through (-1, 2, -5) and perpendicular to the planes 2x- y+z = 1 and…

A: We are  authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find an equation of the plane determined by the points P(1,2,3), Q(2,0, 1), and R(0, –-1,1).

A:

Q: Determine an equation of the plane that contains the point (1, 1, 2) and is parallel to the plane…

A:

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

A:

Q: Find an equation of the plane. the plane that passes through the point (1, 5, 1) and is…

A:

Q: Determine the general equation of the plane containing the point (1, 2, –1) and the line

A: The given equation of the line- 1-x3=y+23=z-3 It can also be written as follows- x-1-3=y+23=z-31…

Q: Find the distance from the point (-1, 3, -1) to the plane -1x + 2y -5z=1.

A: Given: The point (-1, 3, -1) and the plane -1x+2y-5z=1 To find: The distance.

Q: Find the equation of the plane containing the point (- 7, – 8, 0) and parallel to the plane 6x + 8y…

A: To find equation of a plane we use Concept of Direction Ratio of the given parallel plane.

Q: Find the general equation of the plane spanned by

A: Given vectors are 111 and 321

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

A: given planes are x+y-z = 5, 4x-y+5z = 1 The equation of plane that contains intersection of planes…

Q: 3) Find an equation of the plane whose points are equidistance from the point (2, - 1,1) to the…

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: Find the distance between the point (-1, 1,-1) and the plane 3x - 5y + 2z = 12

A:

Q: Find the equation of the plane through the point (1,2,-1) and parallel to the plane 2x- 3y+4z+6-D0.…

A: To find: The equation of plane passing through the point 1,2,-1 and parallel to plane 2x-3y+4z+6=0.…

Q: Find an equation of the plane consisting of all points that are equidistant from (1, 0, -2) and (3,…

A: Let's assume the coordinates of all the points which are equidistant from a points (1,0,-2) and…

Q: Find an equation of the plane consisting of all points that are equidistant from (0, -5, 2) and (-5,…

A:

Q: Find an equation for the plane containing the three points (0, 1, -1), (1,0,1), and (2, 1, 0). Where…

A:

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

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

Q: GIVE AN EQUATION OF THE PLANE DESCRIBED BELOW (A. ) containing (-5, 2, 4) and perpendicular to the…

A:

Q: Find an equation of the plane whose points are equidistant from (6, -5, 3) and (7,5, 5). 13x + 8z –…

A:

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

A: Please see the explanation below

Q: Determine the Cartesian equation of a plane that passes through a point (2,1,-5) and perpendicular…

A:

Q: Find an equation of a plane through the point (1, -4, -3) which is orthogonal to the line x = -3 –…

A:

Q: Find an equation for the plane through the point (3, 4, −4) and parallel to the plane defined by 4x…

A:

Q: Find an equation of a plane passing through the points (1, –1, 7), (3, 2, –20) and perpendicular to…

A:

Q: Find an equation of the plane containing the lines given by 1-x = y = z+ 1 2 and * = y – 1 = z - 2…

A: From the given problem:, the plane containing lines are: 1-x2=y=z+1andx+1-2=y-1=z-2 So we can simply…

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2…

A: For solving This question I found direction cosine using dot product as two perpendicular plane is…

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

A: Let the point P(x,y,z) be on the required plane which is equidistant from the given points (1, 0, 2)…

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

A:

Q: Find the equation of the plane containing the point (7,-2,-5) and is perpendicular to the line…

A: We have to find the equation of the plane

Q: Find the equation of the plane passing through (2, 0, 1) and (-1, 2, 0) and perpendicular to the…

A:

Q: Find the equation of the plane that passes through the points A = (1, –4, –1), В - (-5, —3, —5), and…

A: Proceed as shown below

Q: Find an equation of the plane consisting of all points that are equidistant from (-2, -1, 0) and (0,…

A: Find an equation of the plane consisting of all points that are equidistant from (-2, -1, 0) and (0,…

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

A:

Q: Find an equation of the plane that passes through the point (1,2,3) and which is orthogonal to the…

A:

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

A: It is known that equation of a plane passing through line of intersectionof planes .…

Q: Determine the general form of the equation of the plane passing through P(2,1,-1), Q(0,-2,0) and…

A:

Q: Find the equation of the plane contains the line X+1/2 = Y/3 = Z-1/4 and the line of intersection of…

A: We have given the line of intersection of planes; x + 2y - 2z = 6 , 5x - 2y - z = 0 and line; X+1/2…

Q: Find a plane containing the point (1,-8,-3) and the line of intersection of the planes - 3x – 8y +…

A:

Q: Find an equation for the plane through points P(1, -1,2), Q(2,1,3) and R(-1,2,–1).

A: This question can be solved by applying the formula of equation of plane passing through three non…

Q: find the equation of the plane passing through (1,0,-1)&(-1,2,1) and parallel to the line of…

A:

Q: Find a plane containing the point (2,-1,3) and the line of intersection of the planes 5x + 7y – 6z =…

A:

Q: of the

A:

Q: Find an equation of a plane through the point (-2, 1, 5) which is orthogonal to the line 2= -3- 3t,…

A: The director vector of the line is (-3, -4, -3). Given that the plane is orthogonal to the line. So…

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.