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

Q: The acute angle of intersection of the planes x + y− 2z = 5and3y −4z = 6 is _____.

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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 distance, d, between the point S(4,8,4) and the plane 8x + 7y + 3z = 40. The distance, d,…

A: Given:       Point =S4,8,4        Plane 8x+7y+3z=40                  8x+7y+3z-40=0 Distance between…

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

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Q: Q3)A) Find the acute angle between the planes 2x+2y-z=3and x+2y+z=2

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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 the midpoint of CD. M = (, X1+X2 _Yi+Y2 2 %3D C= (10,-1) and D = (-6,3) ([ ? ],[ ])

A: We can find the mid point of CD as below

Q: For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

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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: Find the acute angle of intersection between the two planes 2x−4y + 4z = 6 and 6x + 2y−3z = 4

A: We know that, acute angle between the lines a1x+b1y+c1z=d1 and a2x+b2x+c2z=d2 is given as…

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

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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: Find the acute angle between the planes x = 7 and x + y + sqrt(2)z =-3.

A: We know that cosine of angle between plane a1x+b1y+c1z=d1 and a2x+b2y+c2z=d2 is given by

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: Find the acute angles between the intersecting lines x = 2 + t, y = 4t + 2, z = 1 + t and x = 3t -…

A: Given: The equation of lines x = 2 + t,  y = 4t + 2,    z = 1 + t      and x = 3t - 2,   y = -2,   z…

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 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: 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 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 between the planes – 3x + 5y = 32 and – 3x + 5y = 27.

A: Simply use the formula for the distance between two planes.

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

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Q: H.W: find the angle between the planes x + y = 1 and 2x + y- 2z = 2

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

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

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

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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 distance between the two parallel planes 2x + 4y + 12z=7 and x + 2y + 6z= 10.

A: We have to find

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 (in degrees) between the planes x−4y−2z=1x-4y-2z=1 and −x+3y+z=−8-x+3y+z=-8.

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

A: Distance between parallel planes d=(d2-d1) /(sqrt(a2+b2+c2)

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

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

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Q: Determine the acute angle between the planes 3x-y+7z-8=0 and -2x+5y + 4z +7=0.

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

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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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