If you have two equations give AND one parametric equation why do you need to find yet another equation?
two
A plane midway between the two given planes and parallel to them.
A single line is not sufficient to define a plane. You can find a plane such that the line is in it. But if you then rotate the plane using that line as the axis of rotation, you can get an infinite number of planes such that the line belongs to each and every one of the planes.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
To find the xy-trace, set z = 0 in the equation -5x - 2y - 3z = 10. Simplifying, we get -5x - 2y = 10. This is the equation of the xy-trace for the given plane.
A parametric equation is a way of representing a set of points. For instance, the (x,y) co-ordinates of a certain collection of points in the plane might be given by the parametric equation, x = 4 + t, y = 5t where t is called the parameter of the parametric equation and ranges over the entire set of real numbers. In this case the set of points is a line. Usually parametric equations are used to discuss curves of one kind of another. Please see the link.
two
Supersonic plane
A plane midway between the two given planes and parallel to them.
A bush plane is the nickname given to small planes that fly in remote areas. Though, they do in some cases carry passengers to these remote locations.
A single line is not sufficient to define a plane. You can find a plane such that the line is in it. But if you then rotate the plane using that line as the axis of rotation, you can get an infinite number of planes such that the line belongs to each and every one of the planes.
True.
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
well the first inventor of planes and technically the first inventor of by planes were the wright brothers because there first plane was a by plane
I would say that there are an infinite number of planes that can pass through a pair of skew lines. In order to find the equation of a plane, all you need is three points. take two points off of one line and one point off of the other line and you should be able to derive the equation of a plane. Since the number of points on a line is infinite, an infinite number of planes can be derived.
The three-dimensional planes are the XY plane (horizontal plane), the YZ plane (vertical plane), and the XZ plane (lateral plane). These planes intersect at the origin in three-dimensional space and provide a framework for locating points and objects.