Posts tagged distance formula
Finding the distance between two points

In this lesson you’ll learn how to use the distance formula to calculate the distance between two points. The distance formula is built from the Pythagorean Theorem, so we’ll start with the Pythagorean Theorem, convert it into the distance formula, and then look at how to use the distance formula directly to find the distance between two points.

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Distance between two points in three dimensions

In this lesson we’ll look at points that are plotted three-dimensionally and how to find the distance between them. We’ll use the distance formula in three dimensions, plug in the two points, and then simplify the square root in order to calculate the distance.

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How to find the distance between points in three dimensions

Given two points A and B in three-dimensional space, we can calculate the distance between them using the distance formula. It doesn’t matter which point is A and which point is B. The fact that we square the differences inside the square root means that all of our values will be positive, which means we’ll get a positive value for the distance between the points.

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Angle between two vectors

To find the angle between two vectors, we use a formula for cosine of the angle in terms of the dot product of the vectors and the magnitude of both vectors. The magnitude of each vector is given by the formula for the distance between points.

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Solving problems with the formula for distance, rate, and time

Before you can use the distance, rate, and time formula, D=RT, you need to make sure that your units for the distance and time are the same units as your rate. If they aren’t, you’ll need to change them so you’re working with the same units.

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How to solve uniform motion problems

Uniform motion explains the distance of an object when it travels at a constant speed, the rate, over a period of time. To compare different rates, times, and distances you can use subscripts to keep track of which pieces go with which equation.

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