Given two data points collected from a 3D dimensional space D12 9 -4 and D23 7 -2 calculate the Euclidean distance between the two data points

The Euclidean distance between two points in 3D space is given by the formula:

√[(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2]

Using the given data points:

x1 = 2, y1 = 9, z1 = -4 x2 = 3, y2 = 7, z2 = -2

Substituting these values into the formula, we get:

√[(3 - 2)^2 + (7 - 9)^2 + (-2 - (-4))^2] = √[1^2 + (-2)^2 + 2^2] = √9 = 3

Therefore, the Euclidean distance between the two data points is 3.