Create a coordinate system, using however many dimensions are necessary.
The distance between two objects using this system where the objects are located at (x1(1), x2(1), ..., xn(1)) and (x1(2), x2(2), ..., xn(2)) is then
d = √(x1(2) - x1(1), x2(2) - x2(1), ..., xn(2) - xn(1))
This is based on the Pythagorean theorem, and is simply the n-dimensional application of it.
In the above notation, because only one level of subscript can be reached, the numbers in brackets represent what would be the next level downward, and note the object that ordinate refers to. For example, the first part is the x1-ordinate of object 2 minus the x1-ordinate of object 1, and similar for all other parts up to the xn-ordinate.
The total path length covered by a moving object is called displacement.
The length of the path followed during motion is the total distance covered by an object moving from one point to another. It can be calculated by summing up the distances between consecutive points along the path.
A path length in physics refers to the distance traveled by an object along a specific route from one point to another. It can be defined for both linear and curved paths and is a fundamental concept in understanding the motion of objects. The path length may differ from the actual displacement of the object if the path is not a straight line.
Displacement is the shortest distance between the starting and ending points of an object's motion, while distance is the total length of the path traveled by the object.
Distance travelled by a body is the total length of the path covered, while displacement is the shortest distance between the initial and final positions of the body (measured in a straight line). In a diagram, imagine a curved path with turns and loops - the total length of this path is the distance travelled, while the straight line connecting the start and end points represents the displacement, which is the shortest distance between the two points.
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Distance is the quantity that describes length of an object's path only no matter what path is covered.
The Length of a path between two points is known as distance.
The total path length covered by a moving object is called displacement.
The length of the path followed during motion is the total distance covered by an object moving from one point to another. It can be calculated by summing up the distances between consecutive points along the path.
Distance is the path between two points.
A path length in physics refers to the distance traveled by an object along a specific route from one point to another. It can be defined for both linear and curved paths and is a fundamental concept in understanding the motion of objects. The path length may differ from the actual displacement of the object if the path is not a straight line.
Displacement is the shortest distance between the starting and ending points of an object's motion, while distance is the total length of the path traveled by the object.
Distance travelled by a body is the total length of the path covered, while displacement is the shortest distance between the initial and final positions of the body (measured in a straight line). In a diagram, imagine a curved path with turns and loops - the total length of this path is the distance travelled, while the straight line connecting the start and end points represents the displacement, which is the shortest distance between the two points.
The total path length covered by a moving object is called the displacement. This is a vector quantity that represents the distance and direction of the object's movement from its starting point to its ending point.
Path length is a scalar quantity because it is only described by its magnitude and does not have a direction associated with it. It is the total distance traveled along a path regardless of the direction of travel.
A square route of x is a path around the sides of a square such that the total length of the path is x.