Are the following planes parallel or perpendicular or none? 3r+2y-5z – 9 = 0, 3x– y+2z – 9 = 0

Q: Find two di¦erent planes whose intersection is the line x = 1 + t, y = 2 - t, z = 3 + 2t . Write…

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Q: 3. Determine whether the planes are parallel, perpendicular, or neither. If neither, find the angle…

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

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Q: Determine whether the planes 3x + 2y − z = 7, x − 4y + 2z = 0 are parallel, orthogonal, or neither.…

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Q: Q7. What angle does the line of intersection of the plane O make with the nonnegative 2x + y - z = 0…

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

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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…

A: as per guidelines, we can solve one question at a time if you want all questions will be answered…

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

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Q: Fin He ara at tHe surface af the portion oF Hae Plane 2= 5-2X -9y

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

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Q: a) Show that the distance between the parallel planes Ax + By + Cz = D1 and Ax + By + Cz = D2 is |D1…

A: (a) To show that the distance between two parallel planes Ax+By+Cz=D1 and Ax+By+Cz=D2 is…

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

A: Two planes are neither perpendicular nor parallel.

Q: Find two different planes whose intersection is the line x = 1 + t, y = 2 – t, z = 3 + 2t. Write…

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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: Evaluate x² zdS, where S is the part of the plane z = 2 + 3x + y above the rectangle [0, 2] × [0, 5]

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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: Determine the angle between the planes: x-z+7=0 2x +y-z+8 = 0

A: Solution :--

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

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Q: Find the angle (in degrees) between the planes 4y + z = 4 and – 4x + 2z= - 3.

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Q: 4. Determine whether the planes are between them. 2x – 3y + 4z = 5; x+ 6y + 4z = 3 parallel,…

A: This question can be solved using the concept of angle between two planes.

Q: Consider the two planes in R3 given by the equations: x+2y+3z-10=0, and-2x-4y-6z+1=0

A: The planes ax+by+cz+d=0 and ex+fy+gz+h=0 are parallel when the relation ae=bf=cg is satisfied. The…

Q: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y-z = 5

A: Given : 2x+2y+2z=3 and 2x-2y-z=5   To find: Angle between planes   we know that for plane Ax+By+Cz=d…

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: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

Q: Describe the intersection of the horizontal plane z = h and thehyperboloid −x 2− 4y 2 + 4z 2 = 1.…

A: Put z=h in given equation -x2-4y2+4h2=1⇒x2+4y2-4h2=-1

Q: 7. Find the dis to the plane x +2y+ 6z = 10 %3D 8. Find the angles between the planes a+y= 1,…

A: According to guidelines we should have been able to solve only one question at a time #8

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: 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: A) Find the angles between the planes 2 x + 2 y + 2 z = 3 and 2 x - 2 y- z = 5

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Q: Find the distance between the parallel planes – 2x + y +z = 0 and 10r – 5y – 5z – 11 = 0. Note:…

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

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Q: Fud the Line pussing through the posnt (!,-l,o) and purrllel to the Eme of intersection of planes (X…

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

A: We have to find angle between two planes

Q: a) Evaluate ff, (2x – z) dS, where S is part of the plane 3x + 2y + z = 1 that lies above the…

A: Surface integral

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 measure of the angle between the planes 3x-4y+z=8 & 5x + y-2z = 6

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Q: Find the equation of the line of intersection of the following two planes: Plane A: 2r – 3y + 2z =…

A: Given Plane A : 2x - 3y + 2z = 5Plane B : x + 2y - z = 4To find the intersection point, Put z = 0 ,…

Q: Which of the following represents a plane surfac whose x-, y-, and z-intercepts are a, b, and c…

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

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Q: Which of the following planes is parallel to the plane За — 2у + z — 3? - 3x 2y + 9 - 6х — 4у + 22…

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Q: x + 4y + 2z = 4, and 4x -3y +4z = 7.

A: Topic - plane and vectors

Q: Determine the angle between the following two planes: −x + 6y + 3z − 6 = 0 2x + 3z − 10 = 0

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Q: Find the point of intersection between the planes TT :x+y-z =1, n, : 2x – 3y -9z = 10 and n, : x +…

A: The three planes are, π1=x+y-z=1 π2=2x-3y-9z=10 π3=x+2y-3z=-4

Q: x + 13y + 7z = 4, and 2x + 26y + 7z = 8

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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, perpendicular, or neither. (a) P1:2r - 3y – 8z – 2 = 0…

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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.