Determine whether the planes are parallel, orthogonal, or neither. 2x – 10y - 2z = 6 4x – 20y – 4z = -3 O parallel O orthogonal O neither Find the angle between the planes. (If an answer does not exist, enter DNI

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 20y – 4z = 4 3x – 15y – 3z =…

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Q: x – y+ z= 5, 2x + x – 2z = 0 Determine the acute angle between the planes Select one: O 80 45 78 68

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Q: Consider the equations of two planes. x + y + z = 0, 8x - y + z-5=0 (a) Determine whether the planes…

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

Q: 6) For what value(s) of k, would the following two planes make an angle of 60° I 1: x+y+ kz = 6 and…

A: Value of k is (8-9√2)/7 by which plane π1 and π2 make angle of 60 degree.

Q: Find the acute angle (in degrees) between the planes – 4x – 3y + 5z = 4 and x + 3y – 2z = 6. =…

A: The given planes are:  P1:-4x-3y+5z = 4  P2: x+3y-2z = 6

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find u+v

Q: The vectors A 5i + 7j – 8k and B 3i + yj + zk are known to be parallel. Find y and 2 y = = Z

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 2z = 9. Need Help? Read…

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Q: l. bt wn u and v 1s T, and llwll>I angle Ilvil=2. then the cosine of the angle betveen ル-v and utv…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Given: The magnitude and direction of two vectors  u=9, θu=0°v=2, θv=60° To find the component form…

Q: Q2: -A meter stick in the x'y' plane makes angles of 45° with the x' and y' axes. O' and the meter…

A: The angle that the metre stick make with x axis is

Q: Determine whether the planes are parallel, perpendicular, or neither. x - y - 7z = 1, 7x + y - z = 2…

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Q: 20. Choose the correct one: The angle between the planes 2x+4y+z+7=0 and 3x-2y+z+3=O is 90 degree O…

A: The angle between two planes  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 is given by by the formula,…

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: b) Consider the vectors a = 2i + 2j + k and b = xi + j – k. Find the value of x for which the angle…

A: Given: a→=2i+2j+k, b→=xi+j-k We know that angleθ between two vectorsa→=x1i+y1j+z1k, b→=x2i+y2j+z2k…

Q: Find the value(s) of a making i = 2ai – 3j parallel to u = a? i+3j. %3D a = (If there is more than…

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Q: (10) Given: x - 2y + 3z = 1 and x+y- 2z = 0 Find the line of intersection of the planes. b) Find the…

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Q: Parallelogram WXYZ and diagonal WY are shown in the diagram below Y Which of the following…

A: For the solution follow the next step.

Q: Q6/ find the acute angles between the planes to the nearest hundvedthaf a vadian 4y+32 =-12 , 3X…

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Q: Q1 : Find the angle between u = 2i + j- 2k and v = i+j+k.

A: The angle between two vectors: - Consider two vectors a and b that are separated by an angle. Then,…

Q: Determine whether the lines intersect, and if so, find the point of intersection and the cosine of…

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Q: Transform triangle ABC according to (x, y) → (x + 3, y – 2). Write the coordinates for triangle…

A: The triangle ABC has tranformed into (x,y)→x+3, y-2

Q: Determine whether the planes are parallel, orthogonal, or neither. 7х — 5у + z %3D 5 х+ Зу + 8z 3D 1…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x − 10y − 2z = 6 3x − 15y − 3z…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: topic - vectors

Q: ) of the plane and the line. (If an answer does not exist, enter DNE.) =2-5 10 plane. e nlane

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Q: Qz Find the angle between the m Ā = 21 - 10j - 11k,B and À xB , CÀXB) Ä 3 = 2 i +2j + k

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Q: What is the angle at the point at which a space diagonal and a side of a cube intersects? a. 35⁰ b.…

A: Here a space diagonal and a side of a cube intersects.

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 6. Need Help? Read…

A: Given query is to find the attached cosine angle between the planes.

Q: Parallelogram WXYZ has diagonals WY and XZ that intersect at O. If XZ=26 and OX=−44+x, find x.

A: XƵ=26 OX = -44+x

Q: =i-j+ 2k and Find the area of the parallelogram that has u v = 2j + k as adjacent sides. NOTE: Enter…

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Q: Determine whether the planes are parallel, perpendicular, or neither. x - y - 6z = 1, 6x + y – z = 5…

A: To determine whether the below planes are parallel, perpendicular, or neither. x−y−6z=16x+y−z=5

Q: Let A = (1,0, 2), B-(-2,2, 4) be two points, i = AB und i= -i+3j+k. Find 27 – 30 = Find the dot…

A: First find the vector u than do as instructed in question.

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

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Q: Determine Q C-6, 1) equilateral iif the triangle R Cl;8) IsOScalene with vertIces PCS;3) ISD SceleS…

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Q: ) Prove that r1 and r2 intersect and calculate their intersection B) What is the angle between r1…

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Q: The area of the parallelogram determined by u = 2i – j– 3k and v = 4i – 2j – 6k is %3D - Select one:…

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Q: Determine whether the planes are parallel, orthogonal, or neither. Зх — 15у - 32 5 2х - 10y - 22 -…

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Q: Q3: Find the angle between two vectors in space A = 41 – 2J – k and B = 4T – 2J + 4k (5 marks)

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Q: Qz: Given two lines (2t+1,5t-s,lot) f ong (34, 2t+3,2+1) 1ocated in Sinde the plane ? plane, find

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Q: i+ 2j+ k and w = 2i - j+ 4k. Find the area of the parallelogram with sides given as v and w. !!

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Q: The angle between the straight line х—1 y+3 z-5 and the -1 plane 4x - 2y + 4z = 9 is a) 60 b) 90 c)…

A: From the equation of the line x-12 = y+3-1 = z-52 , we find the direction vector as  (l,m,n) = (2 ,…

Q: (B) Consider points A(3,-1, 2), B(1, -2,5), and C(4, 1, –2). Let u= AB, v =AC. Let =-i+ 37. Find: a)…

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Q: Determine the acute angle between the planes a – 2y + z = 5, 2x + 3y+ z = 5 Select one: O a. 45 b.…

A: Two planes are: P1: x-2y+z=5P2: 2x+3y+z=5 We have to find acute angle between these two planes.

Q: (e) Orthagnally diaganalize the maīrix, giving an orthognal mairix P'and a D. altze (a) diagonal…

A: Just follow the steps carefully

Q: YQ and XP are altitudes to the congruent sides of isosceles triangle WXY. Select all the true…

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Q: Determine whether the lines intersect, and if so, find the point of intersection and the cosine of…

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Q: A paritcle is at the point P1 (3,7) and is displaced to the point P2 (x,y) , where d= 10m and the…

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Q: Find the distance between the parallel planes 2x – 2y + z = 5 and 2x – 2y +z = 20.

A: The given planes are 2x-2y+z=5 and 2x-2y+z=20. Obtain a point on the first plane by substituting…

Q: nombus 11J with diagonals IG and HJ. Find mZJIH, if mZGJH = 18°. H. J a) OMZJIH = 144° b) OmZJIH =…

A: Given that, The given figure shows the Rhombus GHIJ. The given angle is ∠GJH=180. To find angle of…