The distance between two points can be determined by the blank of the real number values of the two points

The distance between two points can be determined by the absolute value of the real number values of the two points.

The distance between two points can be determined by the absolute value of the difference of the real number values of the two points.

The distance between two points can be determined by the magnitude or absolute value of the real number values of the two points.

To calculate the distance between two points, we need to use the concept of Euclidean distance. The Euclidean distance formula is based on the Pythagorean theorem and can be applied in two or three-dimensional space.

For two points in a two-dimensional plane, let's say Point A with coordinates (x1, y1) and Point B with coordinates (x2, y2), the distance between them can be calculated using the following formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

Here, (x2 - x1) represents the difference between the x-coordinates of the two points, and (y2 - y1) represents the difference between the y-coordinates of the two points. Squaring these differences and adding them together gives us the sum of the squares of the differences. Taking the square root of this sum gives us the Euclidean distance between the two points.

Similarly, for two points in a three-dimensional space, let's say Point A with coordinates (x1, y1, z1) and Point B with coordinates (x2, y2, z2), the distance between them can be calculated using the following formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Here, we calculate the differences between the corresponding coordinates (x, y, and z) of the two points, square them, sum them together, and take the square root to obtain the Euclidean distance.

In summary, to determine the distance between two points, we need to take the absolute value (or magnitude) of the real number values representing the differences between the corresponding coordinates of the two points, and use these values to calculate the Euclidean distance using the appropriate formula.