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

Q: a) Find the acute angle in degree between the planes défined by 8x + 10y + 3z = 4 and 2x + 4y + 6z =…

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

Q: Find the acute angle between the planes with the given equations. x + y + z = 0 and 2x + y - 2z = 0

A: The angle between two planes a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2 is calculated by using the following…

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

A: We can solve the given problem as follows:

Q: The smaller angle (in degrees) between the planes x + y + z =1 and 2x - y + 2z = 0 is

A: Introduction :

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: 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 parametrizations for the line in which the planes 3r - 6y-2z = 3, and 2x+y-2z = 2 intersect.

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Q: Find the angle between the plane r+y-z=21 and the line r-13y+2%3D3-2z.

A: Angle between the plane and line

Q: Find the acute angle (in degrees) between the planes Sz + 3y +5z 1 and 2z

A: P1 denotes plane 1 P2 denotes plane 2

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 2.

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Q: Q: To find an angle between planes 2x + 4y - 4z- 6 = 0 and 4x + 3 y+9=0.

A: We have to find the angle between the given two planes.

Q: Q7) Find the angle between the planes 2x + y- 3z = 2 and -x + 2y - z= 1.

A:

Q: 1.Figure out the acute angle between the planes P : 2r + 2y + 2: = 3, : 2r-2y-z 5.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Find the acute angle (in degrees) between the planes – 4x – 5y + 5z = 0 and 2x – 3y + 3z = - 7.

A: As per the company's guidelines we are supposed to answer only one question.Kindly repost the other…

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 3y + 2z = 9.

A: Here we fnd the cosine of the angle between the planesx+y+z=0 and x+3y+2z=9

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

A:

Q: Find the angle between the planes x+y=D1 and 2x+y-2z%3D2?

A: Given planes : P1: x+y-1=0, P2: 2x+y-2z-2=0 ⇒n1⇀=i+j, n2⇀=2i+j-2k

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

A: Solution :--

Q: 8. Find the angles between the planes r+y = 1, 2x+ y – 2z = 2

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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 the cosine of the angle between the planes  x + y + z = 0 and x + 4y + 3z = 2.

A: The two planes be  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 let the angle between the planes be α  Then cos…

Q: Find the acute angle (in degrees) between the planes - 2x – 5y + 2z = 0 and 2x + 3y – 2z = 5. :-2 0…

A: The given equation in the vector form is, a=-2x-5y+2zb=2x+3y-2x Then, a=-22+-52+22=33b=22+32+-22=17…

Q: 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 acute angle between the planes x = 7 and x + y + √2z = -3.

A: Acute angle between two planes a1x+b1y+c1z+d1=0 and a2x+b2y+c2z+d2=0 is,…

Q: Find the distance (d) from the paint (9, 4, 6) to the plane z-y = 5. STAAVE

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Q: Find the trace of the plane in the given coordinate plane. Зх — 9у + 82 %3D7, yz

A:

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: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

A:

Q: 3. Determine the angle between the planes: x - z+7=0 2x +y-z+8 = 0

A:

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: a Find the distance from the point pC,,1) to the plane 2K -3y+77=1

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Q: Find the angle between the planes x+ y=1 and 2x+у-2z32?

A:

Q: Find the angle between the two planes 4x-y+3z=12 and x+2y+4z=4. Make a sketch of your answer.

A:

Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

A:

Q: Find parametrizations for the line in which the planes 3r- 6y – 2z = 3, and 2x+y-2z = 2 intersect.

A: Given Equation of planes 3x-6y-2z=3 and 2x+y-2z=2

Q: 8. Find the angles between the planes r + y = 1, 2x + y – 2z = 2

A: We will use direct formula to find the angle. The detailed solution is as follows below:

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 acute angle between the planes with the given equations. 3x - y + 2z = 5 and x + 4y- z = 2

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

A:

Q: Find angle between two planes given by 2x + y – z = 29 and 3x + y + 2z = 6. %3|

A: we have to find the angle between the two planes given by 2x+y-z=29 and 3x+y+2z=6. the equations of…

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: Determine the angle formed between the following two planes: T1: 5x - 4y+z=3=0 T2: 3x - 4y + 2z+8=0…

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Q: Find the acute angle between the planes 3x + y +z =0 and x- 2y +z = 3 0 =52.75 B 0=25 .C e =0.25 .D…

A: We will use direct formula and find the required angle. The detailed solution is as follows below:

Q: Find the distance between the origin and the intersection line of the planes : 2x+y+z=2 and x+2y+z=3…

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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: 17. Find the angle between two planes below. a. 2x- y+= =5 and 3x + y-z =1 b. 2x - 4y + 6z = 1 and…

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