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Use distance to describe the total path between starting and ending points, and use displacement to describe the shortest path between starting and ending points.
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Distance is the length of the path taken by an object whereas displacement is the simply the distance between where the object started and where it ended up. For example, lets say you drive a car. You drive it 5 miles east and then 3 miles west.
The distance between two vertices in a graph is a simple but surprisingly useful notion. It has led to the definition of several graph parameters such as the diameter, the radius, the average distance and the metric dimension.
Displacement has to be the shortest path between the two points. If you go around in a circle back to where you started, distance is the circumference of the circle. Displacement is zero.
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points. Created by Sal Khan and CK-12 Foundation.
We seek a formula for the distance between two points: By the Pythagorean Theorem, Since distance is positive, we have: . .
The Distance and Midpoint Formulas Learning Objectives: 1. Use the Distance Formula 2. Use the Midpoint Formula Examples: 1. Find the distance between the points (-3,7) and (4,10). 2. Determine whether the triangle formed by points A=(-2,2), B=(2,-1), and C=(5,4) is a right triangle. 3.
