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Let P=(–5,7,6) and Q=(–6,–4,2). The set of all points that are equidistant from P and Q has the equation=?
"Equidistant points from P & Q in 3D space" refers to a set of points that are all the same distance from two given points, P and Q, in a three-dimensional coordinate system.
To determine the equidistant points from P & Q in 3D space, you would first need to find the midpoint between P and Q. Then, using the distance formula, you can find the distance from the midpoint to any other point in the coordinate system. The points that have the same distance from the midpoint as P and Q are the equidistant points.
Finding equidistant points from P & Q in 3D space can be useful in various applications, such as determining the location of a point that is equidistant from two objects (P and Q) or finding the center of a circle that passes through P and Q.
Yes, there can be more than one set of equidistant points from P & Q in 3D space. This is because there are an infinite number of points that can be equidistant from two given points in a three-dimensional coordinate system.
The concept of equidistant points from P & Q in 3D space is closely related to symmetry. In fact, the equidistant points can be seen as the points of symmetry between P and Q, as they are all the same distance from both points. This can be visualized as a mirror image or reflection of P and Q across the equidistant points.