Find the angle between the two planes 2x + 3y + z = 3 and x + 3y + 2z = -3

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Find the distance between the planes 5x- 3y +z = 6 and 5x-3y +z = -7. Need Help? Read It

A: Distance between parallel planes

Q: Find the distance between the parallel planes 2x – y + 3z = 6 and 4x - 2y + 6z = 24 %3D %3D

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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: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

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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: a) Find the point on the line joining p1 (1,4,-3) and p2 (1,5,-1) that is ) of the way from p1 to…

A: Given

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 angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of…

Q: Q1/ Find the angle between the planes 3 x -6y - 2z = 15 and 2 x +y– 2z = 5

A: Explanation of the answer is as follows

Q: Find the intersection of the planes r + 2y - 3z 1 and x -y+ z 1 two different

A: Given: equation of planes We need to find intersection of above two planes.

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

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Q: Find the distance from the point (2, –1, 5) to the plane 3x + 2y – 2z – 7 = 0.

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Q: Find the distance between the parallel planes P and P2 P: 2x-y+ 3z 6 = 0 P2: 6x - 3y+9z+ 6 = 0 8 *…

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: Q/ Find the angle between the Planes 2 X -6y -Z 9 x + y + 5 2 = 16 and %3D

A: Given that two planes  2x - 6y - z = 9 and  x + y + 5z = 16 Find angle between planes.

Q: Find the angles between the planes x+y=1 ,2x+y_2z=2

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Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: Solution: Given: 2x - 5z =5 .............(1) 2x - 5z =6 .............(2) On solving both equations…

Q: 4. Find the angle made between the two planes: r+ y - z = 5 and 2r + y +3z = -1.

A: Given that: Equation of first plane: x+y-z=5   ........(1)Equation of 2nd plane: 2x+y+3z=-1…

Q: Find the distance from the point to the plane.   (4,1,8)​, 7y+5z=0

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Q: b. Find the distance from the point (2, –2, 3) to the intersection of the planes 2x – y + 3z = 1 and…

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Q: Find the equation of the plane perpendicular to the x-axis and passing through the point (3,-3,2)…

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Q: Find the distance between the parallel planes 2x +y + z = 0 and - 6x – 3y-3z – 13 = 0. | NOTE: Enter…

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Q: Find the distance between the planes 3x-y+6z=7 and -6x+2y-12z=1. Round off answer to four decimal…

A: Given: To explain the correct option of the given statement as follows, The given planes are 3x-y+6z…

Q: Find the acute angle (in degrees) between the planes 5x 4y – 2z = 8 and 5x 2y – 5z = 5. %3D %3D

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Q: Q/ Find the angle between the Planes 2 X -6y-z= 9 x + y +52=16 and 3D

A: Note:- Angle between two plane is given by...

Q: Find the distance between the point P(1, -2, 2) and the plane 2x + 3y + 6z - 1 = 0.

A: Formula to find out distance between point and plane is D= |ax+by+cz-d|/√(a^2+b^2+c^2)

Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

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Q: Find the angle between the planes 3x-6y – 2z = 15 and 2x +y – 2z = 5

A: Recall: Vector method, cos θ=n1·n2n1n2 We have, n1=3i-6j-2k, n2=2i+j-2k

Q: find the distance from the point to the plane. (0, 1, 1), 4y + 3z = -12

A: we have to find the distance of the point (0,1,1) from the plane 4y+3z=-12.   as we know that 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: Find the angle between in the two planes a = (1,2,3) and b =(4,-5,6)

A: Let's find angle between two plane.

Q: Find the intersection of the line and plane: 4x + 4y – 3z = 5, r(t) = (1, 1, 1) + t(1, –2, 3) %3D…

A: Given that line and plane are 4x+4y-3z=5  ,rt=1,1,1+t1,-2,3To find :intersection point of line and…

Q: Find the distance from the point to the plane. (5,7,6), 10y +z= 0 The distance is

A: We can find the distance as below.

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: x − 3y + 6z = 4 e 5x + y − z = 4

A: For the equation of plane a1x+b1y+c1z+d1=0, a2x+b2y+c2z+d2=0The angle between them is given…

Q: The cosine of the angle between the planes 2x - y +2z - 3 = 0 and 3x + 2y – 6z – 11 = 0 is (a)를 (b)를…

A: We'll answer the first question since the exact one wasn't specified. 13. For two planes given by…

Q: a) Find the distance from a point (3,5,6) to a plane 2x + 3y + 5z = 1 b) Find the angle between the…

A: Find the distance of the point to the plane and find the angle between the given planes.

Q: Find the angle between the planes x+2y+2z-5=0 and 3x+3y+2z-8=0

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Q: find the distance from the point (2,2,3) to the plane 2x+2y+2z=4

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Q: a) Find the angle between the planes 2x+ 5y -6z 0 and 3x+ 6y + 8z= 0 b) Find the distance between…

A: Given: a) Planes 2x+5y-6z=0 and 3x+6y+8z=0. b) Planes 4x-y+2z-6=0 and 8x-2y+4z+6=0. To find: a)…

Q: Find the cosine of the angle, 0 Ses x/2, between the plane x +2y-2z= 2 and the plane 4y-5x + 3z =…

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Q: Find the distance from the point A,= (-7,5, 8) to the plane – 5x + 4y+ 3z = -2. Enter the distance

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Q: 3. Determine the acute angle, to the nearest degree, between the planes T : 3x+ 2y - 4z +5 = 0 and…

A: π1: 3x+2y-4z+5=0comparing with Ax+By+Cz+D=0Direction ratios of normal=(3, 2, -4)n1→=3 i + 2 j - 4…

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: Using distance formula between parallel planes

Q: Find the intersection of the plane 3x – y + 2z – 3= 0 and the line

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Q: Find the distance from the point to the plane. (7,3,6), 10y +z= 0 The distance is

A: Given query is to find the distance between the point and the plane.

Q: Find the acute angle of intersection of the planes x + 2y – 2z = 5, 6x – 3y + 2z = 8 to the nearest…

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Q: Find the angle between the line 2 x+v3 : = z + 1 and the plane vZx + y + z – 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.