Find the distance from (2, -7, 8) to each of the following. (a) the xy-plane (b) the yz-plane (c) the xz-plane (d) the x-axis (e) the y-axis

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the distance from the origin to the plane 2 = z - x.

A: Given point is (0,0,0) Given plane is 2=z-x or x-z+2=0

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: 2. Find the exact value of the distance between the line of intersection of the planes 2x - y + 2z =…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Find the distance from the point (- 11, 14, – 8) to the given plane or axis frequired, round your…

A: Given that: A point (-11, 14, -8)     NOTE: As per our answering guidelines, we can only answer 1…

Q: Find the coordinates of the point located in the xy-plane, five units to the right of the xz-plane,…

A:

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

A: Given: The point (-1, 3, -1) and the plane -1x+2y-5z=1 To find: The distance.

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: 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 the points (3, 1) and (−3, 0).

A: Given Two points; (3,1),(-3,0)

Q: 5. Find the exact value of distance from the point (1, -3, -1) to the plane 2x-y+3z = -5

A:

Q: Calculate the distance between the points P = (-7, 2) and M= (1, –1) in the coordinate plane. Give…

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Q: Find the distance from the point (−5,2,−3) to the (a) xy-plane (b) xz-plane (c) yz-plane (d) x-axis…

A: We know that distanced of xy-plane from the pointx0,y0,z0 is given by d=z0…

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

A:

Q: 4 Find a parametrization for the line segment with endpoints (-1,3) and (3,-2).

A: 4) To find the parametric equation of line segment with endpoints (-1,3) & (3,-2)

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: Find the distance between the parallel planes.2x + y - 2z = 0 and 2x + y - 2z = 5

A: The given parallel planes are 2x+y-2z=0  and  2x+y-2z=5. The objective is to find the distance…

Q: Find the shortest distance from the point P(2,-1, 1) to the plane with =quation x - y + 2z = –1 and…

A: Shortest point of the given plane and point P.  Distance from the point P and Q

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

A:

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: Find the distance from the point (4, 3, 0) to the x-axis

A: To find the distance from the point (4, 3, 0) to the x-axis

Q: Find the distance from the point to the plane (2,-3,4) , x+2 y - 2 z = 13

A:

Q: Find the distance from the point (4, 3, 0) to the z-axis

A: To determine: Find the distance from the point (4, 3, 0) to the z-axis

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: In the xy-plane, line k intersects the y-axis at the point (0, –6) and passes through the point (2,…

A: Given:- In the xy-plane, line k intersects the y-axis at the point (0, -6) and passes through the…

Q: The distance from (6,-7, 10) to yZ-plane is

A: Concepts let (x, y, z) be a point then  1) distance of the point from XY plane is…

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

A:

Q: Find the distance between the point (3, 1, −2) and the plane x + 2y − 2z = 4.

A: Given,             Point  (3, 1, −2)          Plane   x + 2y − 2z = 4

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

A:

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

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Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

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

A:

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: Find Parametric efuatins for the lines - The line through (1-2-2) Paralle tothe(Z)-axis.

A:

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

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

A:

Q: The point is located in the yz-plane, three units to the right of the xz-plane, and two units above…

A:

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 of the point (2, 6, 4)  from the x-axis by two methods

A: To find the distance between the point.

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

A: To find the distance between the points M=(-2,-2) & H=(3,-8). Now, note that the distance…

Q: Find the distance between the point (1,3,-1) and the plane 3x - 4y + 5z = 6. (Enter an exact answer…

A: Given point 1,3,-1 and the plane 3x-4y+5z=6

Q: Find the distance of the point (3,8,2) from the line =22= measured parallel to the plane 3x + 2y- 2z…

A:

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

A: Given: 3,-4,2

Q: 6. Find the distance between the point (-3, 1) and the line 4x + 3y + 4 = 0.

A:

Q: find the slope of the tangent to the curve of intersection between 6z=3squareroot(20-x^2) and the…

A: the cylinder equation is given by  and the plane is given by  We want to define each variable in…

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

A: Given plane is: y = -5 Given point is: (-2, 1, 4) We know that the distance (d) of a point P(h, j,…

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

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Q: What is the distance between the point (-2, 5, 3) and the z-axis?

A:

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

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.