Determine the distance between the given planes. π1 : −2x + 2y − 6z + 5 = 0 π2 : x − y + 3z + 8 = 0

Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

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Q: The intersection of the sphere (x-3)^2 + (x+2)^2 + (z-1)^2 = 49 with each of the coordinate planes…

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Q: Determine if the planes 3x + 2y- z 7; x-9y+ 2z 0 are parallel, orthogonal, or neither. If they are…

A: We will one by one check whether the planes are parallel, orthogonal. And then we I'll find the…

Q: Which of the following planes contains the z-axis?x + y = 1

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Q: Find whether the planes below intersect, and if so, where they intersect using Gaussian elimination.…

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Q: 23. The distance of the origin from the plane 2x – 3y + 6z = 14 is A 2 В 14 C с -2 D -14

A: on solving that we get

Q: 4. Determine whether the planes are parallel, perpendicular, or nether. If neither, find the angle…

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Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: A) Given the two planes 2x-3y+z=7 and 2x-3y+z=11. Find the following: 1- Approve that these planes…

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Q: If A = 4a, + 3a - 5az; the component of A perpendicular to the surface z = 2 is; %3D Select one: O…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

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Q: Given the planes π1 : x − 2y + 3z + 1 = 0 and π2 : 2x + y + z + 2 = 0. Find the equation of the…

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Q: Question 8 Attempt di 59 Minu 2 pts Find the distance between the parallel planes P1: 2x - y+ 2z+ 6…

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Q: If 1x, y2 are the coordinates of a point P in the xy-plane, then x is called the _________  of P and…

A: If (x,y) are the coordinates of a point P in the xy-plane, then x is called the _________  of P and…

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

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Q: Given: planes II₁: 2x - 5y + z = -1 and II₂ : x + 5y +z = 5 intersecting on a line l (b) Determine…

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Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: 1. Find the equation of the plane that contains the line point (1,3, 2). 무 =D북3부 md the

A: Let's find.

Q: 1. Consider the planes P and Q given as 2x- 3y +2 = 3 and 4x- 6y + 22 = 5. Are P and Q parallel?…

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Q: nat is

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O…

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Q: Find the equation for the plane through Po(4,9,-7) perpendicular to the following line. x-4+t,…

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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: 4. Determine whether the planes are parallel, perpendicular, or nether. If neither, find the angle…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 2y + z = 3 x + 7y + 5z = 1 O…

A: We have to find the angle between the given planes which is equal to the angle between normals to…

Q: 5. What can you change to the two planes to make them parallel? Make as few changes as possible and…

A: given planes π5: 2x-4y+2z-2=0π6: x-y+3z-2=0

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x − 2y + z = 4 x + 6y + 8z = 1…

A: The direction ratio of the normal vector of 4x − 2y + z = 4 is (4,-2,1) The direction ratio of the…

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 5y +z = 6 x + 3y + 7z = 1 O…

A: We can solve the given problem as follows:

Q: 5) Given the point Q(2, 0, 1) and a plane p: 3x + y - 4z = 24, Find the distance from Q to p.

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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: :) Find the shortest distance from the point P(3, 1, 1) to the plane with equation 2x – 3y + 2z = 22…

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Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 & n2 . Now here n1≠ k n2  , where k…

Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

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Q: Find the distance, d, between the point S(5,6,5) and the plane 6x + 7y + 1z = 12. The distance, d,…

A: topic- distance between point and plane shortest distance of plane ax+by+cz+d from point…

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 2y + z = 3 x + 5y + 6z = 1 -…

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Q: Q/ Find the angle between the planes (x+y+2=1)and (x-24+32%-1).And find the Symmetric equations for…

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Q: c. Find the distance from Po = (3,9, 6) to the plane 3.x + 4y – 5 = 0.

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Q: Find the distance between the point P(1, -2, -3) and the plane x + 2y + 2z - 15 = 0. Answer:

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Q: The wedge cut from the cylinder, x2 + y? =1 by the planes, z = -y and z = 0. Set up only

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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 angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively.…

Q: Q6/ find the acute angles between the planes to the nearest hundvedthad Vadian 4y+32 =-12, 3X…

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Q: H.W 8- Find equations of the planes that are parallel to the plane x +2y- 2z= 1 and two units away…

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Q: 21. Determine an equation for the line of intersection of the following planes: 3x + 2y+ 5z = 4 and…

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Q: Find the distance, d, between the point S(9,3,5) and the plane 9x + 1y + 1z= 36. The distance, d,…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 7x - 3y + z = 8 x + 4y + 5z = 1 O…

A: Given query is to find the angel between the plane.

Q: Determine whether the planes are parallel, orthogonal, or neither. 9x - 3y + z = 4 x + 4y + 3z = 1 O…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x - 15y – 3z = 2 2x - 10y – 2z =…

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