Q: What is the locus of points less than three units from a given point?

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The definition of locus given by Math Open Reference (mathopenref.com): A shape created by the set of points whose position satisfies a given set of rules.To be three inches from each of the two lines means that all the points of the locus are directly between the two given lines. Thus, the locus for this problem is a line parallel to and centered between the two parallel lines.i n c h e s0 3 6L1 locus L2| | || | || | || | || | || | |

0). Considering any TWO points, you can calculate the slope of the line between them like this: Slope = (difference between the y-values of the two points) divided by (difference between the x-values of the two points). Use this technique to examine your THREE points, like this: 1). Calculate the slope of the line between Point-2 and Point-1. 2). Calculate the slope of the line between Point-3 and Point-1. 3). If the two slopes are equal, then the three points all lie on the same line.

it is, unless all three points are in the same line (Your "Why" should have be "When")

Collinear points are three or more points lying on the same line.Non-collinear point are when less than three (not including three) points lie on a line.

Its vertices.

Related questions

The locus of points (or collection of all points) that are 10 centimeters from a given point would be a circle (of radius 10 cm) in two dimensions, and a sphere (of radius 10 cm) in three dimensions.

The definition of locus given by Math Open Reference (mathopenref.com): A shape created by the set of points whose position satisfies a given set of rules.To be three inches from each of the two lines means that all the points of the locus are directly between the two given lines. Thus, the locus for this problem is a line parallel to and centered between the two parallel lines.i n c h e s0 3 6L1 locus L2| | || | || | || | || | || | |

In three dimensions, the solid defined as being bound by the set of points at a given distance form a point is a sphere. In two dimensions, the figure defined as being bound by the set of points at a given distance from a point is a circle. In one dimension, a line segment is bound by the two points at a given distance from a point.

Two.

A 2 point shot in Basketball is worth only two points. As long as the player shoots and makes the basket within the three point parameter, they are given two points for the shot.

0). Considering any TWO points, you can calculate the slope of the line between them like this: Slope = (difference between the y-values of the two points) divided by (difference between the x-values of the two points). Use this technique to examine your THREE points, like this: 1). Calculate the slope of the line between Point-2 and Point-1. 2). Calculate the slope of the line between Point-3 and Point-1. 3). If the two slopes are equal, then the three points all lie on the same line.

Three points is the most amount of points that can be given to one basket in the NBA. The shot must be shot from at least behind the three point line, unless it is a made shot that got fouled.

it is, unless all three points are in the same line (Your "Why" should have be "When")

3 points

Collinear points are three or more points lying on the same line.Non-collinear point are when less than three (not including three) points lie on a line.

No, only three lines can intersect at a single point.

It depends on where you are when you shoot it. If your feet are behind the three point line, then the jump shot is worth 3 points if your feet are on or in front of the three point line then the jump shot is worth 2 points.