Calculate Euclidean Distance Between Two 3D Points

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

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

To calculate the Euclidean distance between two points D1(2, 9, -4) and D2(3, 7, -2), we can use the formula. Here's how:

1. Identify the coordinates of each point:

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

2. Substitute these values into the formula: √[(3 - 2)^2 + (7 - 9)^2 + (-2 - (-4))^2]

3. Simplify the equation: = √[1^2 + (-2)^2 + 2^2] = √9 = 3

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