Find the distance between the given parallel planes. 2x - 4y + z = 8, 4x - 8y + 2z = 3

Q: Determine whether the planes are parallel or identical. -6x + 4y – 9z = 5 18x - 12y + 27z = 14 O The…

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Q: Which values of x and y will make the quadrilateral a parallelogram? 12x + 20 45° T8y • 1)9 (5y •…

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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: 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 distance the point P(1, 6, 3), is to the plane through the three points Q(-4, 3, 1), R(-9,…

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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: Which values of x and y will make the quadrilateral a parallelogram? 12x + 20 45° 18y 1)9 +] (5y +…

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Q: Q2 |The points A(1,0), B(2,0), C(4,2), and C(xy) are the verticies of a parallelogram. Find x and y,…

A: We will find the fourth vertex (x,y) of the parallelogram .olso we will find perimeter and area of…

Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: Find the values of x and y for which the figure must be a parallelogram. 7. 8. 9. A 4x + 20 7y 6x +9…

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Q: 5. In the parallelogram RSTU, the diagonals RT and SU intersect at point W. T. If RW: 2x +2 and RT =…

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Q: 2) Which equation can be used to solve for x in the parallelogram below? (бх+12)° (2x+8)° (Зx-12)°…

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Q: V 10x - 40 5x U

A: The solution for the above question is as shown below.

Q: 1. Find an equation of the perpendicular bisector of the segment joining(3. -1) and (-1. 7). (A) x +…

A: Here we have to find the equation of line which is perpendicular bisector of the segment joining(3.…

Q: WXYZ is a parallelogram, what is ZY? 4x + 3 W. 15, 6х - 5

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Q: Find the distance between the given parallel planes. 2z = 2y – 6x, 3z = 1 – 9x + 3y

A: Find the equation by first converting both the equation as the parallel planes then find the answer.

Q: x – 7y dA, where R is the parallelogram enclosed by the lines x - 7y = 0, x – 7y = 9, 5x – y = 2,…

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Q: a) Find the equation of line of intersection of the following planes 3x – 4y + 4z - 29 = 0 , 6x – 8y…

A: As per guidelines we are allowed to solve one question at a time. Kindly repost the rest question…

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: For what value of x is the given parallelogram a rhombus? (4x-15)° (6x-9)° %3D

A: AB is a diagonal of the rhombusand diagonal's bisects each other

Q: 4x + 5y Find dA, where R is the parallelogram enclosed by the lines -x-2y 0, 4x + 5y 4, --2y 1, --2y…

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Q: Determine the value of each variable for parallelogram INDY that has diagonals that intersect at P.…

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Q: Find the value of x and y for which OCARE is a parallelogram. b. C 4x+3 A a. C A 2y ROE 5x-4 R R…

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Q: -62-y Find dA, where R is the parallelogram enclosed by the lines -3x +y R - 6x – y = 0, - 6x – y =…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 6x + 24y - 18z = 1, -12x + 24y…

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Q: 2. OWISH is a parallelogram given: WĪ_= 3x – 2 cm, I00 = y + 4 cm, SO0000 = 19 cm,WH = 1O cm, I0000…

A: Given query is to find the value of x.

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Which of the following  points in the standard (x, y) coordinate plane is furthest from the origin

Q: Which equation can be used to find the value of x that makes the quadrilateral a parallelogram? Show…

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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: Give the coordinates of Q" after parallelogram PQRS with vertices P(0,6),. Q(5,-4), R(4,-7),…

A: we have been given the points of a parallelogram and we have to first reflect it across the y-axis…

Q: Q/ Find the angle between the planes (x+y+2=1)and (x-24+32%-1).And find the Symmetric equations for…

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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: Segment IJ I(-6,-12) J(-18, 22)

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

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

A: given integral ∫∫R-2x+4y-x-5ydA where R is the parallelogram enclosed by the lines…

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: 3. Determine the values of x and y for the parallelogram. (3x + 15)° (y +30)° (3х - 15)°

A: The given figure is parallelogram. Therefore opposite angles are equal. Also the sum of all angles…

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: 2x + 3y Find -dA, where R is the parallelogram enclosed by the lines 4x – 4y -- 2x + 3y = 0, 2x + 3y…

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Q: The figure below is a parallelogram. Y 18x + 1 12x 89 ° W Given that m/X = (18x + 1) *, m/XWY =…

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

A: Given:  Parallelogram is rhombusCondition: Opposite angles are…

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.