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How homogenous co-ordinate system differ from cartesian system?
We assume that the ambient space is equipped with the standard Cartesian coordinate system and specify points by their Cartesian coordinates.The Cartesian coordinates of a point in the plane are a pair (x,y).The homogeneous coordinates of a point in the plane are a triple (x,y,w) with w!=0. The Cartesian coordinates of a point with homogeneous coordinates (x,y,w) are (x/w,y/w).Remark: We notice that the homogeneous coordinates of a point are not unique. Two triples that are multiples of each other specify the same point.The Cartesian coordinates of a point are of type double in the floating point kernel and of type rational in the rational kernel. The homogeneous coordinates of a point in the rational kernel are of type integer. Points in the floating point kernel are stored by their Cartesian coordinates.For points in the rational kernel it is more efficient to store them by their homogeneous coordinates, i.e., to use the same denominator for x- and y-coordinate.For compatibility also points in the floating point kernel have homogeneous coordinates (x,y,1.0). These homogeneous coordinates are of type double.
What is the X-Y coordinate system called?
Cartesian coordinates after the 17th Century French mathematician and philosopher, Rene Descartes
What are the coordinates are 40 N 120 W?
Using the spherical coordinate system, they would be (6378 km, 40, -120).
If you use a pair of x and y coordinates x and y to represent a point in a two dimensional Cartesian coordinate system how would you represent a point in a three dimensional Cartesian coordinate sys?
(x,y,z) hi APEX ppl! TB
Systems of equations with different slopes and different y-intercepts have no solutions?
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
How is the latitude and longitude system similar to x and y coordinates on a graph?
Balls
What does longitude and latitude do for geographers?
It is a system of coordinates used to accurately describe the location of a place.
What two coordinates is the Global Positioning System?
The Global Positioning System (GPS) uses longitude and latitude coordinates to determine a location on Earth. Longitude measures east-west position, while latitude measures north-south position. These coordinates are expressed in degrees, minutes, and sometimes seconds.
What is a geographic coordinates for longitude?
The system of latitude and longitude coordinates was invented as a means of specifying locations on the earth. Every location on the earth has a unique set of latitude and longitude coordinates, and every possible pair of latitude/longitude numbers you can name is on the earth.Perhaps the best answer to the question is: "All of them."
What is Earths reference system?
Earth's reference system is based on latitude and longitude, with the equator serving as the reference for latitude and the Prime Meridian as the reference for longitude. This system allows for precise location determination on Earth's surface using coordinates.
How do you figure the latitude and longitude of the moon?
The latitude and longitude of the Moon can be determined using a lunar coordinate system where the 0-degree longitude is the line facing Earth. The latitude refers to the Moon's position above or below the equator. Various astronomical tools like telescopes and software can help calculate the precise coordinates of the Moon at any given time.
What are coordinate?
Coordinates are numeral values within a plane or three-dimensional space that identify a point within that system. In geometry, Cartesian coordinates indicate values within a grid system of perpendicular axes. In geography, coordinates give latitude (North and South) and longitude (East and West). They show an exact place on the map and are traditionally expressed in degrees, minutes, and seconds (the angle from an arbitrary reference plane).
How can you pinpoint the exact location of a place on earth?
You can pinpoint the exact location of a place on earth by using longitude and latitude coordinates. You may also use a GPS system.
Why military needs the use of longitude and latitude?
The use of longitude and latitude allows military personnel to accurately pinpoint locations on maps and communicate coordinates effectively. This system helps with navigation, target identification, mission planning, and coordination between different units operating in the same area. It ensures precision and reduces the risk of errors during military operations.
What is a map that shows longitude and latitude called?
A geographic coordinate system is a coordinate system that enables every location on the Earth to be specified by a set of numbers. The coordinates are often chosen such that one of the numbers represent vertical position, and twoor three of the numbers represent horizontal position. A common choice of coordinates is latitude, longitude and elevation.
Does every planet have a latitude and longitude?
No, not every planet in our solar system has latitude and longitude. These coordinates are specific to Earth's coordinate system and are used to locate points on the surface of the planet. Other planets may have their own unique coordinate systems or may not have a system in place at all.
What 2 coordinates is the global positioning system based on?
The Global Positioning System (GPS) is based on trilateration, which requires a minimum of three satellite signals to determine a user's position in terms of latitude, longitude, and altitude. GPS uses time signals from at least four satellites to calculate accurate coordinates for a specific location.
