a) Find the equation of line of intersection of the following planes 3x – 4y + 4z - 29 = 0 , 6x – 8y – 3z = 20 %3D

Q: Find a line equation through the point P(3,-1,4) and parallel to the line of intersection of the…

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Q: Find the equation of the plane through (1,-4,2) and per pendicular to each of the planes 2x t 5y -2…

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Q: Find the points where the liner(t) = 4 − 3t, 8 + 7t, 5 + t, −∞ < t < ∞,intersects each of the…

A: The point where the line intersects co-ordinate planes, one of the co-ordinates must be zero.

Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

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Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=D0, x+2y-3z+5=D0.

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Q: -1 and Determine an equation of the line of intersection of the planes 2x – y + 3z x + 4y – z = 2

A: I

Q: On a grid map of a province, the sr coordinates that correspond to the location of a cellular phone…

A: The center is -2, 3 and radius is 12.

Q: Find the intersection of the planes r + 2y - 3z 1 and x -y+ z 1 two different

A: Given: equation of planes We need to find intersection of above two planes.

Q: In the drawing, mZ1 MZRSV = 67° and x – y = 17°, find x and y. = x and m2 = y. If %3D - (HINT: m21 +…

A: In the given figure below, m∠1=x and m∠2=y Also given that m∠RSV=67° and x-y=17°

Q: 10) Find the equation of the line of the intersection of the planes 2x+3y+7z+2=0, x+2y-3z+5=0.

A: The given equation of planes are  2x + 3y + 7z + 2 = 0   ...... (1) x + 2y - 3z + 5 = 0   ...... (2)

Q: On the line of intersection of the planes y+2z=12 and x+y=6, find the point (a,b,c) that is closest…

A: Given planes, y+2z=12andx+y=6 Consider the point of intersection be x,y,z.

Q: find the line of intersection (if any) of the given planes. x+3y+2z-6= 0, 2x – y+z+2= 0

A: The equation of plane are x+3y+2z-6=0 2x-y+z+2=0

Q: 5. (a) Find an equation for the line of intersection between the planes r+3y-z = 2 and 2x – y+2z =…

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Q: Find the line of intersection of the planes 3x+2y-z=7 and x-4y+2z=0.

A:

Q: Find the equation for the plane through Po(4,9,8) perpendicular to the following li x= 4+t, y = 9+…

A: Given x=4+t  , -∞<t<∞y=9+2tz=-5tx=t=x-41 , y=t=y-a2  , z=t=-z5

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

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Q: (a) Find an equation for the line of intersection between the planes x+3y–z= 2 and 2x –y+2z = 5. (b)…

A: Given: Two planes  x+3y-z=2vector a = <1 , 3 , -1 >2x-y+2z=5vector b = <2 , -1 , 2 >

Q: The planes x - 2y + 32 - 3 =0 and 3x + y - z + 5 =0 are perpendicular. Select one: True False

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Q: Find the equation of the line given by the intersection of the following two planes: T1:-2x + 4y- z+…

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Q: Determine the equation of the perpendicular bisector of KL if it's endpoints are at K O-7,5) and…

A: Given:    Points : K ( 7 , 5 )    ,   L ( 9 , 1 )

Q: 30 0= +시 +씨 2 |and 3x-y-z=3 -8/

A:

Q: Find the equation for the plane through Po(6, – 3,7) perpendicular to the following line. x= 6+t, y…

A: Given equation of the lines are, x=6+t, y=-3-5t, z=5t The given equation of the lines can be written…

Q: Find the point of intersection for the following three planes: x - 2y + z + 6 =0 2х + у — z + 2 %3D0…

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Q: 1. Find the equation of the plane that contains the line point (1,3, 2). 무 =D북3부 md the

A: Let's find.

Q: 3x + 30 (5y 2)° 5z +5 8х — 5 (9y 8) SR = RT mZT AS 4z 8 %S4

A: we will find in next step

Q: (50p.) l- Find an equation of the plane through (1,3,–2) and the line of intersection of the two…

A: Given that, P1 : x-y+z=1 P2 : x+y-z=1 and Point A(1,3,-2)   We have to find Equation of Plane…

Q: Determine whether or not the planes f1:   3x  –  y  + z – 2 =  0 f2:     x + 2y –  z + 1 =  0 f3:…

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Q: Find the equation where the planes 2x - 3y + z = 5 and x +y -z = 2 intersect. Write step by step.

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Q: Consider the line which passes through the point P(1, 3, -5), and which is parallel to the line æ =…

A:

Q: Draw the plane given by the equation. x + y + z = 4

A: x+ y+ z= 4

Q: H.W 2- Determine the points of intersection of the given line and the three coordinate planes. 1. x…

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Q: Consider the line which passes through the point P(2 -3, -4), and which is parallel to the line x =…

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Q: Determine if the line given by r(t)=(-2t, 2+7t, -1-4t) intersects the plane given by 4x+9y-2z =-8…

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Q: (a) Find an equation for the line of intersection between the planes z+3y-z = 2 and 2x –y+2z = 5.…

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Q: Find the midpoint of CD. M = ( X1+X2 Yı+y2 C = (10,-1) and D = (-6,3) %3D %3D ([ ? ],[ ])

A: Use the given mid point formula and simplify.

Q: Find the line of intersection of the given planes. 4x + y – z = 0 and 2x - y + 3z = 4 y = 2 + t 2

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Q: Determine if the pair of planes are parallel: (a) 4x – y + 2z=5and 7x – 3y + 4z =8 (b) x – 4y – 3z –…

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Q: what is the equation of the plane perpendicular to the intersection line of the x-2y+2z= 3  and…

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Q: Find the equation of the line of intersection of the planes 2x+y-2z = 1 and x+2y-z = 4.

A: Planes are 3-dimensional spaces, that contains infinite lines. When two non-parallel planes…

Q: Determine the points of intersection of the given line and the three coordinate planes. x =1+2,y…

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Q: Given two planes: -3x + 2y – 4z – 3 = 0; x + 4y + 5z + 20 0. Find the symmetric equations of the…

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Q: B. If the two planes ax-4y - 9z = 4 and perpendicular. Find the value of a. x-2xy + 3z = 1 are

A: Topic = Geometry

Q: Find the equation for the line passing through and perpendicular to Hhe plane P= (!,2,-3)…

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Q: Describe the nature of intersection between the following planes. 2x - y+2 = 3 4x-2y+ 22 =4 -2x+y-z…

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

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Q: 21. Determine an equation for the line of intersection of the following planes: 3x + 2y+ 5z = 4 and…

A:

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: Which of the following are symmetric equations for the line of intersection of the planes 2x+y+−6z=2…

A:

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.