Question

Find the distance between the points S and T. $\mathbf{S}(4,5,7), \mathbf{T}(6,6,5)$

   Find the distance between the points S and T.
$\mathbf{S}(4,5,7), \mathbf{T}(6,6,5)$

Modern Analytic Geometry

Modern Analytic Geometry

William Wooton,… 1st Edition

Chapter 8, Problem 27

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The coordinates of point S are (4, 5, 7) and the coordinates of point T are (6, 6, 5). Show more…

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Find the distance between the points S and T. $\mathbf{S}(4,5,7), \mathbf{T}(6,6,5)$

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Key Concepts

Euclidean Distance

This concept involves calculating the straight-line distance between two points using the square root of the sum of the squares of the differences in each corresponding coordinate. It is derived from the Pythagorean theorem and is applicable in any dimensional space.

Three-Dimensional Coordinate Geometry

This field extends the principles of coordinate geometry to three dimensions, utilizing an x, y, and z axis to denotate positions in space. It is fundamental when working with spatial relationships, including finding distances between points in a 3D environment.

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