Find the angle between the planes (x+y+za1)and. (x-24+32-1). And find the Symmetricequations for the line of intersection (L)of these two planes.

Q: 3,0 on a coordinate plane

A: we have to plot (3,0) on a coordinate plane using graph we can plot (3,0) on coordinate plane as…

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

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Q: Find the angles between the planes x + y = 1, 2x + y - 2z = 2

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Q: Solve for the distance from the point (-5, 4, 5) to the plane −x+4y−5z=4.

A: Given Plane: -x+4y-5z=4 and Point: (-5,4,5)

Q: Represent two planes that intersect at a line represented by 3. y- 7 = z+2 2.

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Q: Find the equation of the perpendicular bisector of the segment joining (1, 2) and (5, 4)

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Q: :Find the equation of the plane through (-1 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

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Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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Q: Find a line passing through (−2, 5, −3) and perpendicular to the plane 2x − 3y + 4z + 7 = 0.

A: we have to find a line passing through (-2,5,-3) and perpendicular to the plane 2x-3y+4z+7=0   as we…

Q: Use v=<3/5,4/5>,w=<-4/5, 3/5>, to verify the Parallelogram Law

A: The given vectors are

Q: Find the exact value of the distance between the line of intersection of the planes 2x-y+2z 6,…

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Q: find the distance between point (-1,1,3) and the plane 5x-5y+3z=25

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Q: Plot the planes given by the equations y z = 0 and x = 0 and their line of intersection using a box…

A: The given planes are y-z=0 and x=0. Hence the line of intersections of these two planes can be…

Q: Find the distance between the points (-3,0) and (3,1)

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Q: Find the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

Q: Find the distance from point P(2, 7, -6) to the plane of equation 5x - y + 4z - 8 = 0

A: We have to find distance

Q: The distance from the point S(7, 7, -6) to the plane 2x + 11y + 10z = 9

A: option C 2215 is correct detailed solution is given below

Q: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

A: Given Two points; (1,−2, 0) and (4, 0, 5)

Q: the coordinate plane be

A:

Q: The planes 3x + 6z = 1 and 2x + 2y - z = 3 intersect in a line. Find equations for the line of…

A: Given equation of planes - 3x+6z = 1                ........................(1)2x+2y-z = 3…

Q: Find the plane determined by the intersecting lines.

A:

Q: The base of a triangle passes through a fixed point (f,g) and its sides are bisected respectively at…

A: y2-8xy-9x2=0 y2-9xy+xy+9y2=0y(y-9x)+x(y-9x)=0(x+y)(y-9x)=0 here we have two lines  L1:…

Q: Find the distance from the point (-5, –13,6) to the plane –9x + 3y – 8z = -67. Distance is ...

A: Given:            point a(-5,-13,6)=(x0,y0,z0)            plane equation is -9x+3y-8z+67=0we know…

Q: :Find the equation of the plane through (-1, 6, 2) and perpendi cular to the jain of (1, 2, 3) and…

A: Given,           The equation of the pane through -1,6,1 and perpendicular to the join            of…

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: Find the point at which the line (-4, –5, 2) + t(-4, 3, –5) intersects the plane 2x + 5y + 4z = -6

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Q: Find the distance between the points (2, −1, 3) and (1, 0, −2).

A: To find the distance between the points (2, −1, 3) and (1, 0, −2).

Q: . Find an equation of a plane passing through the point (3, 4. 0) and containing the line of…

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Q: Find the point of intersection of the line through (1, -4, 1) and (4, -12, 6), and the plane given…

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Q: Determine whether the two planes x-y + 2z = 1 -x-y +z = 3 are parallel or intersecting. Find their…

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Q: Find the angle between two planes -3/2x- 6y+ z= 4 and 2x−y−1/2z= 7 , also find an equation for the…

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Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7.

A: The distance between a point (x1, y1, z1) and a plane Ax+By+Cz=D is given by…

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

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Q: Find the distance in between the point P(0, 2, – 4) and the point Q(3, – 2, – 3). -

A: Given:P0,2,-4 and Q3,-2,-3

Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: The line passes through the point(7, 8, 9) and is parallel to the xz-plane and the yz-plane. 7,8,1 +…

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Q: Find the distance from the point A,= (-7,5, 8) to the plane – 5x + 4y+ 3z = -2. Enter the distance

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Q: Find the distance between the parallel planes 10х — 5у — 52z — 26 — 0. 2х + у + 2 %3 0 and - - NOTE:…

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Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: Find the distance from the point (1, -2, 4) to the given plane 3x + 2y + 6z = 5 Thank you.

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

Q: Find the distance from the point to the plane. (6, 0, —6), т — у %3D 4

A:

Q: ind the angle of an intersection between the two planes 2x+y-z-3 and x+2y+z=3. In addition,…

A: Given plane are

Q: Determine the distance between the point (-1, 2, 1) and the plane 2x +14y -5z = 7

A: We know that the distance between a point (x1, y1, z1) and a plane Ax+By+Cz = D is…

Q: Find the distance from the point (-4,3,-2) to the yz-plane.

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Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

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Q: The distance between the line x =-2+2t ,y=2t+1, z=2-t and the line x=3- 2t ,y=-2t+1,z=t is

A: Distance between two Parallel Lines we calculate as a distance between intersection of the lines and…

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.