Find the distance between the planes. 5x-2y+z-4 0, 5x-2y+z+6= 0

Q: 5. What is the angle between the planes 4x - 5z 11 and 8x- 10z 13? (a) 0 (c) (b) (d) n

A: Given: 4x-5z=11 8x-10z=13

Q: Find the distance (d) between the planes – 3x – 4z = – 11 and – 3x – 4z = – 23. - d = Question Help:…

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Q: Find the distance between the planes 5x- 3y +z = 6 and 5x-3y +z = -7. Need Help? Read It

A: Distance between parallel planes

Q: (b) Find the equation of the plane passing through the points A(2,2,1), B(9,3,6) and perpendicular…

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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: The distance beyween the planes 4x – 9y + 9z = 3 and &x – 18y + 18z = 2

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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: Q5/ Find the volume of the Tetrahedron that is determined by three edge vectors â = [1, 0.-3), 5=…

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Q: Find the point on the plane 2x + 3y + z =7 that is nearest to (2,0,1). What are the values of x, y,…

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Q: 3. The xz-plane. Answer:

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

A: Two planes A1x+B1y+C1z =d1  and    A2x+B2y+C2z =d2  are parallel if                      A1A2 = B1B2…

Q: distance Q.2A) ((q,x+ 92y+ 93z = M, ,41x + 92y+932 = M2)) |M, – M2| Prove the between to planes…

A: Let the point (x1,y1,z1) is on plane 1 and the point (x2,y2,z2) is on plane 2. As we already know…

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

A: Distance from the point P (x1,y1,z1) to the plane Ax+By+Cz=D is  d=|Ax1+By1+Cz1-D|/square root…

Q: 8. The distance between the planes 2r -y-2z 5 and 2r - y- 2z = 7 is A C 2 D 4

A: As the planes are parallel than for calculation distance between planes we use formula:…

Q: (a) the area of the triangle ABC where A(-2, -1,1), B(3, –2, 1) and C(1,3, –2). x +1 (b) the…

A: 3d

Q: Which point(s) lie in the plane 2x + y - z = 10? a) (0, 0, 10) c) (2, 4, - 2) b) (5, 3, - 3) d) (-3,…

A: Given:plane: 2x+y-z=10

Q: V Z the tetrahedron cut off from the first octant by the plane 6 2

A: NOTE: Refresh your page if you can't see any equations. . the limit of z is

Q: 4. Find the point on the plane 4x+7y+8z-16=0 closest to the point (-3,3,2). The point is (Simplify…

A: we use langrange multiplier method

Q: Find the distance the point P(1, -1, 4), is to the plane through the three points Q(0, -4, 0), R(-5,…

A: Topic-coardinate geometry

Q: Determine whether the planes are parallel or identical -7x + 4y - 9z = 5 14x - 8y + 18z = 9 The…

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Q: Find the point, P, at which the line intersects the plane. x= 5+ 4t, y = -6 – 9t, z = - 9+ 8t; – 4x…

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Q: 0/ Find the Palametric equations of the line of intersection of Planes? PL= -2x+3y +7Z =-2…

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Q: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

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Q: Q6) Find the distance from the point to the plane. (2, -3, 4), x+ 2y + 2z 13 (0,0,0), 3x + 2y + 6z 6…

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Q: Which of the following is the intersection point of the plane 5x-2y-3z=0 and X = 5-t the line y =…

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Q: Find the point on the plane 2x+7y+8z-14 =0 closest to the point (-3,3,1). The point is (Simplify…

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Q: Z • W Y. T. U. 10. What is the intersection of the two planes? 11. Are points T, Z, U, and W…

A: To answer the given questions using the given figure.

Q: find the line of interscetion f the plane given by 3X +6y-S=-3 f the plane -2x +?9 -そ =24 %3D

A: Given equation of planes3x+6y-5z=-3and -2x+7y-z=24We need an equation for all (x,y,z) that satisfy…

Q: ough the point P(6, - 2, - 7) and parallel to the plane 4x + 7y+ Ty+2z = - 4 Ey + 4z = - 4 Ey - 7z =…

A: Plane : 4x+7y+2z = -9 Point : (6,-2,-7)

Q: Consider AB in the coordinate plane below. 10 4. 2. A -10-9 -8-7 l0 1 -1 -5-4-3 -2-1 2. 4. 10 -2 -3…

A: Given: AB¯

Q: Find the distance between the given planes: 5x - 3y + z = 2 & 5x- 3y + z = -3 | Upload Choose a File

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Q: Find the distance the point P(2,0,1) is form the plane 3x – 6y + 2z = 15. -

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Q: Find the distance from the point to the given plane. (1, -4, 2), 3x + 2y + 6z = 5 Need Help? Read It…

A: Our Aim is to find the distance from the point (1,-4, 2) to the plane 3x+2y+6z=5.

Q: 1. Find the distance between the two planes - 2y + z=4 and z-2y+ :-1 HI

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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: Find the shortest distance between the point (1,0,-2) and the plane z+2y+z 4. Put your answer in…

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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: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: Q6) Find the distance from the point to the plane. (2,-3, 4), x + 2y + 2z 13 (0,0, 0), 3x + 2y + 6z…

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Q: Find the distance the point P(2,0, 1) is form the plane 3x - 6y + 2z = 15.

A: we have to find the distance , the point p(2, 0, 1)is form the plane 3x-6y+2z = 15 i.e 3x-6y+2z-15 =…

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

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Q: Find the point on the plane 2x+3y+6z−12=0 closest to the point ​(−2​,5​,3​). The point is ? ? ?…

A: Nearest point to the plane Find the point on the plane 2x+3y+6z−12=0 closest to the point (-2, 5,3)…

Q: 10. Rectangle ABCD with vertices A(1, 0), B(7, 2), C(8, -1), and D(2, -3): (a) Translation: (x, y) →…

A: Topic:- translation and reflection

Q: Quadrilateral JOSH has points J(2,8) O (5,10) S( 4,4) H ( 7,6): (x,y) -- (x +2, y- 5)ldentify the…

A: Given ,  Quadrilateral JOSH has points J(2 , 8) ; O(5 , 10) ; S(4 , 4) ; H(7 , 6)  (x , y) → (x + 2…

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: Determine whether the planes are parallel, perpendicular, or neither. (a) P1:2r - 3y – 8z – 2 = 0…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.