find the distance in space between the points (5,3,-2) and (0,0,1)

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

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Q: 2)Passes point (1,3,7) and orthogonal to xy- plane.

A: The line which is orthogonal to x-y plane is lies on z-axis. Therefore the direction ratio's of the…

Q: 6. Determine the distance from the point (2, -1, 5) to the plane 3x - 3y + 5z = 8.

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Q: Find the distance from the point Q(1, 2, -4) to the plane 2x - 5z = 5.

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Q: Find the distance from the point (3, -4, 2) to thea. xy-plane b. yz-plane c. xz-plane

A: The 3D view of the point is as below

Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: The line through the points (−3, 8,−4) and (1, 0, 8) intersects the yz-plane at _____.

A: We know that equation of line which passes through two pointsx1,y1,z1,x2,y2,z2 is given by…

Q: Calculate the distance between the points P = (-7, 0) and N=(-4, -6) in the coordinate plane. Give…

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Q: Which point is closest to the yz-plane? ? What is the distance from the yz-plane to this point?

A: The distance of a point from the yz-plane is given by the x coordinate of the point. Because, the x…

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

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Q: Find the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10.

A: Given,           The distance between the point 2,-4,3 and the plane 5x-2y+z=10.We know that,…

Q: Find the distance between the point (5,-4, 1) and the plane containing the points (4, -2, 3), (-1,…

A: Here we have to find the distance between the point (5,-4,1) and the plane containing the points…

Q: A cube is located such that its bottom four corners have the coordinates (-4, –5, –1), (-4, –1, –1),…

A: Given a cube is located such that its bottom four corners have the coordinates (-4,-5,-1),…

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: Compute the distance between the point (-2, 8, 1) and the line of intersection between the two…

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Q: What are the projections of the point (−2, 3, 4) on the xy-, xz-, and yz-planes? Draw a picture and…

A: Given, the point (-2, 3, 4), we have to find the projections of this point on the xy-, yz-, and…

Q: Let S be a set of five distinct points in the plane with integer coordinates. Show that the midpoint…

A: Given S to be set of five distinct points in the plane with integer coordinates. Let the coordinates…

Q: The shortest distance from (−7,6,−8) to the xy-plane is

A: Since the plane is a xy-plane so, the point will be (-7,6,0).

Q: Calculate the distance between the points Q = (-7, 9) and K = (-2, 2) in the coordinate plane. Give…

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Q: Find a parametric representation of a straight line passing through (1,2,1) in the direction of…

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Q: Find the number of points in the xy-plane with integer coordinates located at a distance 5 from the…

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Q: find the distance from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: Find the distance between the point (2, 8, 4) and the plane 2x + y + z = 5.

A: we have to find the distance between the point (2,8,4) and the plane 2x+y+z=5. as we know that the…

Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: Find the distance between points (2,3,5) and (-1,4,-2) in space

A: The given points are (2,3,5) and (-1,4,-2).

Q: Find the distance from the point (2,-3,5) to the plane passes through the points (1,0,-3), (3,4,-6)…

A: (b) Given point P2,−3,5 and a plane passes through the points 1,0,−3, 3,4,−6 We have to find the…

Q: Explain how to find the distance between two parallel planes.

A: Explain how to find the distance between two parallel planes.

Q: What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

A: Given problem is:

Q: A point moves such that the ratio of its distances from two fixed point is constant, show that its…

A: Let the moving point be P (x, y, z). Let A(a, 0, 0) and B(-a, 0, 0) be two fixed points.

Q: 10- -10 -8 -6 4 4 6 8 10 -10- 2. 2.

A: Given query is to find distance between two points G and N.

Q: Find a parametrization for the line SEGMENT between (- 5, 7, 6) and (2, – 6, – 9). |

A: Parameterizing a line segment, which joins the points (x1,y1,z1) and (x2,y2,z2), helps in obtaining…

Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: Find the distance between (2,4, -1) and (0,8,3)

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Q: What are the projections of the point (6, –3, 5) on the coordinate planes? On the xy-plane: ( On the…

A:

Q: Find the distance between (1,-2, - 1)and the plane through the points (1, 2, 3)and (3 , 2, 1)and…

A: Given information: The plane passes through the points (1, 2, 3) and (3 , 2, 1) and perpendicular to…

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A:

Q: Calculate the distance between the points M=(-9,8) and L=(-1, 1) in the coordinate plane. Give an…

A:

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: Find the distance from the point (5, -4, 1) to the plane −3x−2y−3z=−4

A:

Q: Calculate the distance between the points H=(-2, -3) and N=(-8, 2) in the coordinate plane. Give an…

A: We know that the distance between the points x1, y1 and x2, y2 is given by x2-x12 + y2-y12

Q: Find the distance between the points (-1,2) and (1,-1)

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Q: Write the equation of the plane passing through point (3, 8, 3) that is parallel to the xz-plane.. X…

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Q: Find the distance between the points (4,-1) and (-1,5) Distance %3D

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Q: Find a plane containing the point ( - 5, - 5, 2) and the line r(t) = (1, - 2, 1) + t(4, 7, 5).

A: First you will find the normal vector to the plane and then find the value of the constant d

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

A: Given: 3,-4,2

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 between the points . (1, 6, 3), (−2, 3, 5)

A: The given points are (1, 6, 3), (−2, 3, 5)

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

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.