Find the distance from (.-4,5) to each of the following. (a) the xy-plane (b) the yz-plane (c) the xz-plane

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 cosine of the angle between the planes -3x - 4y – 3z = 3 and the plane - 1x - 3y + 3z = -2.

A:

Q: Describe the plane x = 4.

A: Given, plane x=4we have to describe the plane x=4

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

A:

Q: Show that the points (5,4,2),(6,2,-1) and (8,-2,-7) are collinear

A: The points are A(5, 4, 2), B(6, 2, -1) and C(8, -2, -7) The points are collinear if the directional…

Q: Find Sax ds, where C is the line segment in the plane joining (0,0) and (3, 4).

A: I am attaching image so that you understand each and every step.

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.