Posts tagged three dimensions
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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Finding the midpoint of a line segment in three dimensions

In this lesson we’ll look at how to find the midpoint of a line segment in three dimensions when we’re given the endpoints of the line segment as coordinates in three-dimensional space.

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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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