)The distance between vertices is the measurement of the length or magnitude of a line segment connecting two points in a geometric shape or graph.
The distance between vertices is calculated using the Pythagorean theorem, which states that the square of the length of the hypotenuse (longest side) of a right triangle is equal to the sum of the squares of the other two sides. In a two-dimensional plane, this can be represented as d = √((x2-x1)^2 + (y2-y1)^2), where (x1,y1) and (x2,y2) are the coordinates of the two vertices.
The unit of measurement for distance between vertices can vary depending on the context. In a two-dimensional plane, it is usually measured in units such as centimeters, inches, or meters. In a three-dimensional space, it can be measured in units such as feet, yards, or kilometers.
No, the distance between vertices cannot be negative. It is always a positive value representing the length of the line segment connecting the two points.
The distance between vertices is used in various fields such as mathematics, physics, engineering, and computer science. It is used to calculate the shortest route between two points, determine the size and shape of objects, and analyze data in graphs and networks. It is also used in GPS technology to measure distances between locations and in computer graphics to create 3D models.