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

Q: The acute angle of intersection of the planes x + y− 2z = 5and3y −4z = 6 is _____.

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

A: Given,         The equations of two planes are           x+3y+2z-6=0          2x-y+z+2=0

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: XZWY is a rhombus with diagonals XW and ZY intersecting at point M. Given YMX = 3p + 6, solve for…

A: diagonals of rhombus makes right angle at ntersection point

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: 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 equation of the set of points located three units away from the plane -2х + бу + 3z + 1…

A: Given equation of the plane, -2x+6y+3z+1=0

Q: Find two different planes whose intersection is the line x = 1 + t, y = 2 – t, z = 3 + 2t. Write…

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Q: For planes 2x + y – z = 2 and 2x + 3y + 5z = 4,

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

A:

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: 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: 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: B. FORK is a parallelogram. 6. if FO=3x10cm and RK=19cm. Find X and FO 7. If FO=x²+1 and RK=17. Find…

A: topic- parallelogram

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

A:

Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

A: When a point is reflected across the x = a line, the y-coordinates remain the same. But the…

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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

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Q: d the condition for the point (a,0),(h,k),(0,b) when ab is not equal to 0 to be collinear

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

A: We have to find angle between two planes

Q: Find the equation of the line containing the point (1, 3, −2) that is parallel to both of the planes…

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Q: For the plane, 6x + 10y + 15z = 30, the values of the x-, y-, and z-intercepts are %3D 5, 3 and 2 3,…

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Q: Find the equation of the plane through the point (1,4,7) and perpendicular to the line x = 2 + t, y…

A: If the plane is perpendicular to the line, then the line is also perpendicular to the plane.  So the…

Q: 10. Is there any value of k that will make the planes kx + 2y-2kz + 3 = 0 and x-2ky + 5z = 0…

A: Two planes are perpendicular iff their normal vectors are orthogonal

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: 2. Find the equation of the line that is parallel to the intersection of planes 12, 2x-8y + z = 0…

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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 of the line of intersection of the planes: x+y+z=1, 2x+y-z=2

A: Given the two planes :   P: x+y+z=1   Q: 2x+y-z=2

Q: 4. The diagonals of parallelogram WXYZ intersect at D. Which statements must be true? Select all…

A: NOTE: According to the guidelines only one question will be answered please upload other one…

Q: Find the angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively.…

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

A:

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: , in general form (x + y2 + Bx + Cy + D = 0), centered a he lines 2x + y + 10 = 0 and x - 2y - 5 = 0…

A: We have to find the equation of a circle whose center is the point of intersection of,  2x+y+10=0…

Q: Find the equation for the plane through Po(4,- 5,5) perpendicular to the following line. x= 4 + t, y…

A: ee

Q: Given are two points [1,3] and (6, –1] in the plane. Which equation of the form a ·z + b•y+c=0…

A: (y-y1)/(y2 -y1) = (x-x1)/(x2-x1) (x1,y1 ) = (1,3) (x2,y2 ) =(6,-1) (y-3)/(-1-3) = (x-1)/(6-1)…

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

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Q: . Find the equation of the line containing the point (1,3, –2) that is parallel to both of the…

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Q: The planes x + 2y + 3z = 12 and 2x + 3y + z equation is (x, y, z) = (0, 6, 0) + n(7, – 5, 1). Find…

A: Equation of a line in space :  r→ = a→ +n b→  , where…

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.