Determine whether the following planes below are parallel, perpendicular, or neither. choose one v 1. x + 2y – 6z = 0 and %3D -4x – 8y + 24z = -3. choose one v 2. x – 3y + z = 0 and %3D -x – 4y + z = 5. choose one v 3. x + 7z = 0 and 7х — г — 2. |

Q: Which of the following four planes are parallel? Are any of them identical?  Plane 1: 3x + 6y - 3z…

A: Given, the 4 planes we have to choose which of the four planes are parallel or identical.

Q: Find the distance between the given parallel planes 4x - 5y+z = 16, 8x – 10y+ 2z =3 46 a. 4/21 29 b.…

A: The distance between two parallel planes ax+by+cz+d1 = 0 and ax+by+cz+d2 = 0 is given by…

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: For planes 2x + y - z = 2 and 2x + 3y + 5z = 4. %3D

A: Angle between two planes is given by: cosθ = a1a2 + b1b2 + c1c2a12 + b12 + c12 a22 + b22 + c22

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

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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 distance between these two planes x + .2y – 2z = 3 and 2x + 4y – 4z = 7 اخترأحد الخيارات a.…

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Q: Consider the two planes, T1: X = 4 – 2s + 3t - y = 1 +s + 2t z = 3 + 4s -t; s, t eR T2 : [x, y, z] =…

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

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Q: Find the intersection of the planes x + y + z = 1 and 3x − 2y +z = 5.

A: Consider two planes which are not parallel to each other and intersect. Since planes are three…

Q: Find the line of intersection of the planes 3x+2y-z=7 and x-4y+2z=0.

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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 the line of intersection of the given planes. 4x + y-z = 0 and 2x - y + 3z 4 %3D

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

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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

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

A: Given: Two planes are given Plane1: π1 : −2x + 2y − 6z + 5 = 0Plane2: π2 : x − y + 3z + 8 = 0…

Q: Draw v = [ 4/1 ] and w = [ -2/2 ] and v+w and v-w in a single xy plane.

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Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

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

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

A: Given P( 2, 2, -2) and planes  x+2y-3z=3 and x+y+z=2

Q: Find the line of intersection of the given planes. 4x + y + z = 0 and 2x -y + 3z = 2

A: Given planes are: 4x + y + z = 0 2x - y + 3z = 0 Let us consider, z = t Then we get, 4x + y = -t 2x…

Q: Find the distance between the planes M: 3x – 4y + z – 17 = 0 and N: 6x – 8y + 2z + 68 = 0.

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Q: Find the line of intersection of the given planes. 3x + 2y + z = ~ 1 and 2x - y + 4z = 5

A: Given: 3x+2y+z=−1                                                      ...(i)2x−y+4z=5…

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 the symmetric equations of the L that is parallel to the two planes x+y-z= 2 and z + 3y+ z =…

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Q: The line L(t) = (4 – 3t, 3, 1 +t) intersects the plane 3x – 3y + 2z = -16 at the point when t =

A: To find the point of intersection of the line and the plane, substitute the values of x,y, z from…

Q: Find the distance between the given planes: 5x - 3y + z = 2 & 5x- 3y + z = -3 | Upload Choose a File

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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 line of intersection of the given planes. 4x + y – z = 0 and 2x - y + 3z = 4 y = 2 + t 2

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Q: Find the line of intersection of the planes 2x – y + z = 2 and x + 2y – 4z = 1

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

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

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

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Q: Find the common point(s) of the planes given by II : II2 : Il : 3x + 2y – 4z = 18 y+ z= 3 Зд — 2у —…

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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: Determine whether the planes are parallel or identical −x + 4y − z = 6, −(5/2)x + 10y − (5/2)z = 15

A: Given information: The planes are −x+4y−z=6, −52x+10y−52z=15. Calculation: The normal vectors that…

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

A: Given Planes:

Q: Find the eguation f Plane that Passes through P(12-1,3) and s Parallel to the Plane 3X++6? ans. 3X+y…

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

A: Line of intersection.

Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Two planes are perpendicular iff their normal vectors are orthogonal

Q: Find an equation for the plane parallel to the line x = 1 − 2t, y = 2 + 3t z = 1 + 2t and that…

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

A: To find the equation of the plane passing through the point P 2,2-2 and vertical to the line of…

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.…

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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: Determine whether the planes are parallel or identical. −7x + 5y − 9z = 4 21x − 15y + 27z = 11

A: To determine whether the planes are parallel or identical :