Find the distance between the given parallel planes. 2x- 2y +z = 10, 4x-4y+2z= 1 4x – 4y+2z = 1 19 a. 6 19 b. c. 2/6 19 d. 2/6 b. 2/3

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

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Q: Which of the following statements does not prove that ABCD is a parallelogram.. Given: A(-4, 7),…

A: If a quadrilateral is said to be a parallelogram then it's opposite sides should be equal in length…

Q: Find the distance between the given parallel planes 4x - 5y+z = 16, 8x – 10y+ 2z =3 46 a. 4/21 29 b.…

A: The distance between two parallel planes ax+by+cz+d1 = 0 and ax+by+cz+d2 = 0 is given by…

Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:an 4₂: (3, 6,-5)+(2, 3, 1), find: d) the…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 3x + 12y – 9z = 1, -27x + 54y…

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

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Q: Use the following points for #1-7: A(-1,5),B(0,6), C(2,-4) 1. Plot segments AB, BC, and AC on the…

A: Given,  points A-1,5  , B0,6   C2,-4

Q: – 2x + 4y -dA, where R is the parallelogram enclosed by the lines 5y Find - r - R - 2x + 4y = 0, –…

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Q: 3) (' ) Consider the lines 3 9-2 a-4_9-3 3 z+2 -4 Determine if the lines are parallel, intersectirg…

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Q: 9. Write an equation of the plane that passes through (2,0, –3) and (a) is perpendicular to the line…

A: Given: The vectors are: a=-1, -2, 3b=3, 0, -2v=2, -5, -4 The equation of plane is, P=2x+y=z+13

Q: Determine whether the planes are parallel, orthogonal, or neither. 8x - 7y + z = 7 x + 2y + 6z = 1 O…

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Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

Q: Question 8 Attempt di 59 Minu 2 pts Find the distance between the parallel planes P1: 2x - y+ 2z+ 6…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z - 1 2x - 10y - 2z =…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 7x + 28y - 21z = 1, -3x + 6y +…

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Q: Quadrilateral WYZ ie shown. 2n-1 (5y 13y 7m + 4 (6y-8y n 6 W What must the values of m and n be for…

A: In parellogram parellel sides are equal So WZ=XY ZY=WX

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: N. H. Name the intersection of ONJ and KJI. Name the intersection of KOL and MLH. Name two planes…

A: The given figure is We have to a) Name the intersection of ONJ and KJI b) Name the intersection…

Q: Determine whether the line x=3t ,y=1+t ,z=2t  and the plane x-y-z= 1 are parallel. If they are…

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Q: For what value of x is the given parallelogram a rhombus? (7x+6)° (9x-8)° The given parallelogram is…

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Q: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

Q: . Prove that the figure with the coordinates given is a parallelogram. (Use diagonals bisect each…

A: Note : A & C are diagonally opposite points  And, B & D are diagonally opposite points.

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: Determine whether the planes are parallel, orthogonal, or neither. 4x − 2y + z = 4 x + 6y + 8z = 1…

A: The direction ratio of the normal vector of 4x − 2y + z = 4 is (4,-2,1) The direction ratio of the…

Q: 2(4x - 15) (5y- 2) 2(3x + 7) D 2(2y + 1)

A: See attached file for a step by step explanation.

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: Which of the following statements does not prove that ABCD is a parallelogram Given: A(-4, 7),…

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

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Q: (2t+l, st-5, lot ) f 4z: Given two lines ( 34, 2++3, zt+1) located in Sice the plane ? plane, find

A: The required equation for the plane is calculating by the below method.

Q: Determine whether the planes are parallel or identical. -5x + 3y - 8z = 5 15x – 9y + 24z = 14 %3D O…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y – 2z = 5 4x - 20y - 4z =…

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Q: Find the distance between the given parallel planes. 22 = 4y - 2x, 3z = 2 - 3x + 6y Need Help? Read…

A: The distance between the two parallel lines a1x+b1y+c1z=d1 and a1x+b1y+c1z=d2 is given by the…

Q: In parallelogram WXYZ, diagonals WY and XZ intersect at point A. Give WA = x^2 - 48 and AY = x^2 -…

A: We have to find WY

Q: The distance d of a point P to the line through points 4 and B is the length of the component of P…

A: If a vector passes through the points Cx1, y1 and Dx2, y2, then its position vector is defined as…

Q: Find the distance between the given parallel planes 4x - 5y +z = 16, 8x – 10y +2z = 3 29 a. 4/21 46…

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Q: Find the distance between the parallel planes P and P2 P: 2z-y+3z - 6 0 P2 : -4x + 2y – 6z – 2 = 0…

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Q: Given the planes (x, y, z) = (0,0, –3) + s(1,1,–2) + t(-2, –-1,3), and x + y + z + 6 = 0 : a) Are…

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Q: Y. 14 12 10 8 6 D. --4-2 2. 6 8 10 12 14 A 4. 2. 4.

A: from midpoint formula

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: For what value of x is the given parallelogram a rhombus? (7x+11)° (9x-5) The given parallelogram is…

A: Please see the explanation below.

Q: Find the distances: a. Between 4 = (3+t,-2+ 3t,-t) and l2 = (1+ 2t, t,5+ 4t). %3D %3D b. Between the…

A: 3-d geometry is the concept that deals with 3 dimensional figures. In order to find distance between…

Q: 10 X- 3y dA, where R is the parallelogram enclosed by the lines x - 3y = 0, x - 3y = 5, 8x - y = 5,…

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Q: . Find x and y so that this quadrilateral is a parallelogram. A. x = 27, y = 90 (4х — 4)° «(у — 60)°…

A: Given,          The figure quadrilateral is a paralellogram.

Q: Determine the unknown angle measures and the values of x and y that make quadrilateral ABCD a…

A: (3) For the parallelogram opposite angles are always equal. ⇒∠B=∠D and ∠A=∠C⇒4(x+7)=2(3x+2) and…

Q: Determine whether the planes are parallel or identical. -5x + 2y – 8z = 6 10x – 4y + 16z = 11 The…

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Q: 4-Sy. dA, where R is the parallelogram enclosed by the lines x- Sy - 0, x- Sy 9, 4x-y 1, and x- y=7…

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Q: Find the values of x and y so that the quadrilateral is a parallelogram. (5x+29) (5y-9 (3y+15)°…

A: Given that the figure is a parallelogramWe know that in a parallelogram opposite angles are…

Q: 4x бу Find dA, where R is the parallelogram enclosed by the lines 6x + 2y 0, 4x R 4х — бу - 6y = 4,…

A: Evaluate the double integral by change of variables

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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