Suppose you start at the origin, move along the x-axis a distance of 6 units in the positive direction, and then move downward along the z-axis a distance of 2 units. What are the coordinates of your position? (x, y, z) =|

Q: Calculate the distance from point A(1, 2, 1) to the plane of equation 3x-4y + 5z = 1.

A: To find distance of point to plane using the formulae: Given point is and plane equation is .

Q: Calculate the distance between the points J (-7,0) and L= (-2,-4) in the coordinate plane. Give an…

A: Given,            Two points J(-7,0) and L(-2,-4) in coordinate plane we need to calculate distance…

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: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

Q: Calculate the distance from the point (4,−2,7) to the plane x−3y+5z=−8.

A:

Q: Find the distance from the point (2, –1, 5) to the plane 3x + 2y – 2z – 7 = 0.

A:

Q: An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the…

A: We know, An angle with its vertex at the origin of an x-y-coordinate plane and with initial side on…

Q: Find the distance of a point (1, 2, 3) to the line L: x = 3 + 9t, y = -2 + It , z = 7t. Give your…

A: Find the distance of point to the line L.

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 the distance from the point (2, 2, 3) to the plane 2x + 3y + 5z = 0.

A: Formula of distance of a point from a plane:

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

A:

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, - 1, 2) is parallel | to the line x=…

A: Given that points are (2,1,-1), (0,-2,0) and (1,-1,2) The parametric equation is,…

Q: Find the distance of the point (3,8,2) from the line , -y+3 -z+2 Q2: measured parallel to the plane…

A:

Q: find the distance from the point to the plane. (0, -1, 0), 2x + y + 2z = 4

A: Concept: The two expressions connected by equal to be called an equation. The expression on the two…

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

A:

Q: Parallel unes /perpendialar Through point Wnat is an equation of the line that, passes through the…

A: If two line are parallel their slopes are equal

Q: find the distance from the point to the plane. (0, 0, 0), 3x + 2y + 6z = 6

A:

Q: Calculate the distance between the points F = (1, -1) and Q= (7,-8) in the coordinate plane. Give an…

A: Given are two points F(1,-1) and Q(7,-8) FQ=1-72+-1--82=>FQ=-62+72=>FQ=85

Q: Find the distance from the point (2, 0, 0) to the plane x + 2y + 2z = 0.

A: Given a point, (2, 0, 0) and the equation of the plane x + 2y + 2z = 0.

Q: The distance between the point ( 9,8,3) and the plane x + y – 2z = 5 is .... %3D

A:

Q: Find the distance from the point (2, 1,−2) to the plane 6(x − 1) + 2(y − 3) + 3(z + 4) = 0

A:

Q: Find equations of the line through the point (1, −1, 1) perpendicular to the line 3x = 2y = z and…

A:

Q: The plane through the points (2, 1, –1), (0, –2, 0), and (1, – 1, 2) is parallel to the line x=1-t,…

A: Equation of plane passing through x1, y1, x2, y2, x3, y3 is given by,…

Q: The equation of the line tangent to the intersection of two surfaces 2 = a2 and z 25- y? at the…

A:

Q: Find an equation for the set of all points equidistant from the point (0, 0, 2) and the xy-plane.

A: Let any such point is given by (x,y,z)(x,y,z) is z units away from the xy plane.

Q: PQ lies in the standard (x, y) coordinate plane. What are the coordinates of the midpoint of PQ if P…

A: We need to find the coordinates of the midpoint of PQ¯ if P is located at -7,-11 and Q is located at…

Q: A Find the Distance from the point (2,-6) to the line 3x+ 4y t6=0 B Find the distance between the…

A:

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

A:

Q: Find an equation of the conic described.Graph the equation.

A:

Q: 1. y = x², x = 0 , x = 2, y = 0, about the x – axis - 2. V9 - y?, у %3 1, у %3 3, а %3D 0, about the…

A: Use formula to calculate volume

Q: Find the tangent plane to the equation z = 6e" -20 at the point (4, 8, 6)

A:

Q: 10. Two corners of auxiliary rectangle at (-4,-7) and (0,0), vertical transverse axis

A: The diagram of the hyperbola having given conditions is shown below. Calculate the center of the…

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: An airplane is traveling in the direction 30° west of north at 700 km/hr. Find the component form of…

A:

Q: Iz+ai| rupriants Prove that the equation Iz+2] = 5V13 the origin is distance from pror line and its

A: Prove that the equation z+2=z+3i represents a line and its distance from the origin is 51326.

Q: Q1/: Find the distance between plane (6x - 2y - z +4 = 0) and point (3, 2, 1). (6 marks)

A:

Q: Solve for the linear equation of the plane through the point (1,9,10)(1,9,10) and parallel to the…

A:

Q: Determine the distance from point Q = (2, 6, 9) to the plane x + 2y + 2z = 8

A:

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

A:

Q: Find the distance from the point (-2, 2, 3) to the plane -3x + y – z = 9.

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 an equation of the plane through (4, 1, –4) that is perpendicular to the line x – 2 = 5t, y+3 =…

A:

Q: The plane through the points (2, 1, - 1), (0, -2, 0), and (1, -1, 2) is parallel to the line x 1-t,…

A: equation of plane for non collinear points , x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1 we will use…

Q: Q2 / A man moved from the point (2, -2, 1) to the point (8, 3, 4). Express the displacement moved by…

A: The given point is                    P1 (2, -2, 1)  and  P2 (8, 3, 4) To find displacement in terms…

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 an equation of the plane. The plane through the point (7, −2, −7) and parallel to the plane 9x…

A:

Q: 8. y- -x+4 , x=0, y=o, about the (x 20) y axis

A: y=-x2+4 and x≥0 ,x=0,y=0 about y axis

Q: What are the coordinates of the points in the graph of y? - r + 6z – 13 = 0 in which the tangent…

A: Tangent is horizontal at that point where derivative of function of zero

Q: Find the equation of the line perpendicular to the plane x−2y +z = 4 passing through the point (1, 0

A: We have to find equation

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.