Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and C(0,-1,1)

Q: 2. Find the distance of the point A : (1,0, 2) from the plane P: 3x +y+ z = 9.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Q3: Find the distance between the origin and the plane containing the points A(1,1,0), B(-1,0,1) and…

A: Find the distance between the origin and plane containing the points A(1,1,0) , B(-1,0,1) and…

Q: Find the distance between the point and the plane.

A: The distance of a point from a plane in the standard equation form is equal to . The given point…

Q: Find the distance between the parallel planes – 2x + y + z = 0 and бх — Зу — 32 -13 — 0. %3D

A:

Q: Determine the point on the plane 2x + 3y − 4z = 0 that is closest to the point P(1, 1, 1)

A:

Q: What is the distance between the point A(2,5,1) and the plane x + 2y +2z +1=0 ? Answer:

A:

Q: Find the equation of the plane for a plane through the point (2, −8, −3) and parallel to the plane…

A: Equation of plane through point (x1, y1 , z1) and parallel to plane ax +by+cz+d = 0 is given as…

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: Determine the general equation of the plane 2 passing through the point P(-1,4, 5) and parallel to…

A: Follow the procedure given below.

Q: Find the point on the plane x-y+z=7 that is closest to the point (2,4,6).

A:

Q: Find an equation of the plane. The plane that passes through the point (1, 3, 5) and contains the…

A: Given linex=5t , y=1+t , z=3-tDirection vector of this linev⇀=5,1,-1coefficients of t

Q: (42) is the distance between the point (1, –3, –2) and the plane x- 4y-3z-2= 0.

A: In this question we have to find the distance between point and plane. Note: As per our policy we…

Q: Find an equation of the plane. The plane through the point (5, –1, –6) and parallel to the plane 5x…

A: Given point is (5,-1,-6) and plane is 5x-y-z=3 find the equation of the plane which is parallel to…

Q: Find the point on the plane x+y+z=-46 that is closest to the point (1,1,1).

A:

Q: (A) Find the Distance between the point (x.y.z) and the plane 3x+2y+6z = 6 If the plane meet with…

A:

Q: Q1/ Find the distance between the point p(2,3,4) and the plane containing the following points…

A:

Q: Determine the general equation of the plane N passing through the point P(3, –1,2) and parallel to…

A:

Q: Find an equation of the plane that contains the point (2, 0, 3) and the line x =-1+t, y =t, z=-4+21…

A: It is given that the required plane contains the point 2,0,3 and the line x=-1+t,y=t,z=-4+2t. The…

Q: Q6) Find the distance from the point to the plane. (2, -3, 4), x+ 2y + 2z 13 (0,0,0), 3x + 2y + 6z 6…

A:

Q: Find the point p(x, y, z) on the plane 2x + y - z - 5 = 0 that is closest to the origin.

A: Given:The given plane is 2x+y-z-5=0 that is closest to the origin.To find:we have to find…

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

A:

Q: The distance from the point P(1,2,3) to the plane x +y + z = 0 is

A:

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

A:

Q: Find the distance from the point B = (1, 0, 2) to the plane P whose general equation is x + y -z =…

A: Equation of the plane is Given point is

Q: Find the distance between the point and the plane. 19. (0,0,0) and 2x+3y+z=12

A: As there are multiple questions, the first one (19) is solved here.

Q: Find the distance between the point P(-1, 2, -1) and the plane 2x + 6y - 9z + 1 = 0.

A: Use formula to calculate distance

Q: d the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10

A:

Q: Find the point on the plane x - 2y + 3z = 12 that is closest to the point (0, 2, 2). (x, y, z) =

A: Just I have used the Lagrange multipliers method and find the required solution.…

Q: the

A: We will find the distance.

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A:

Q: Find the distance between the point and the plane. (0, 0, 0) 2x + 6y + z = 12

A:

Q: A) Find the point at which the line x = 2, y = 3+ 2t, z = -2-2t meets the !3! plane 6x + 3y- 4z -12

A: Here we have to find the point at which the line x=2, y=3+2t, z=-2-2t meets the plane 6x+3y-4z=-12…

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: Q:- find of the the line of interscetion plane given by 3X +6y -S2=-3 f the plane -2x + 79 -2=24

A: 3x+6y-5z+3=0 -2x+7y-z-24=0 Let z=t 3x +6y = 5t-3 -2x+7y = t+24

Q: (A) Find the Distance between the point (x.y.z) and the plane 3x+2y+6z = 6 8 If the plane meet with…

A: As per the company policy i can answer only first question for you, More than that leads me towards…

Q: Determine the general equation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

A:

Q: Q3/ The distance between the plane 2x+4y-4z-22%-0 and the point(1,-2.2) will be ?

A: Basic 3d geometry problem

Q: Find the angle between the plane -2x +y-2z 0 and the plane generated by the points P1(0, 0, 0),…

A:

Q: Find the point on the plane 3x + 2y + z = 6 that is nearest the origin.

A:

Q: Determine an equation for the plane that passes through the point (1, 2, –3) and is parallel to the…

A:

Q: Find an equation of the plane. The plane through the point (4, 0, 1) and perpendicular to the line…

A: Given that, Let, the required equation be, lx-a+my-b+nz-c....(1) The required plane passing through…

Q: Q2) Find the distance from the point P (1, 2, 3) to the plane x-3y + 2z= 4.

A:

Q: Find an equation of the plane. The plane through the point (7, −2, −7) and parallel to the plane 9x…

A:

Q: Find the point on the plane x – 3 y – 2 z = 14 that is closest to the point (0, 3, 3) .

A: We have the plane x-3y-2z=14 The normal vector to a plane ax+by+cz=d is a,b,c Hence, the normal…

Q: Q4. Find the angle between the plane -2x + y- 2z 0 and the plane generated by the points P1(0, 0,…

A:

Q: Find an equation of the plane. The plane that passes through the point (2, 4, 5) and contains the…

A:

Q: Find an equation of the plane. The plane through the point (4, 0, 1) and perpendicular to the line…

A:

Q: Find the distance between the point Q (3, –2, 4) and the plane 2x – 5y + z = 10 -

A:

Q: Find the distance from the point to the plane. (3, 0, 10), 2.x + 3y + z = 2

A:

Q: Find the distance from the point Q to the plane p. Q= (0, 0, 0), p with equation x - 2y + 2z = 1

A: GivenQ=0,0,0p:x−2y+2z=1

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.