findDistanceTwoPoints3D()

Step 1: Understanding the Problem

The first step in solving any programming problem is to understand what the problem is asking you to do. In this case, we're asked to create a function that can compute the distance between two points in a three-dimensional space. Each point in a 3D space has three coordinates: x, y, and z.

The formula for finding the distance between two 3D points, given by two sets of coordinates (x1, y1, z1) and (x2, y2, z2), is as follows:

√((x2-x1)² + (y2-y1)² + (z2-z1)²)

With this in mind, let's begin coding.

Step 2: Declare the Function

In JavaScript, we start by declaring a new function. We'll call our function findDistanceTwoPoints3D. This function will take six parameters: x1, y1, z1, x2, y2, z2. These represent the two sets of 3D coordinates.

function findDistanceTwoPoints3D(x1, y1, z1, x2, y2, z2) {

}

Step 3: Calculating the Squares of Coordinates Differences

Inside the function, we can start the calculation based on the formula above. We need to take the differences of each respective set of coordinates, square that difference, and sum them all.

function findDistanceTwoPoints3D(x1, y1, z1, x2, y2, z2) {
    var diffX = x2 - x1;
    var diffY = y2 - y1;
    var diffZ = z2 - z1;

    var squaredSum = Math.pow(diffX, 2) + Math.pow(diffY, 2) + Math.pow(diffZ, 2); 
}

Step 4: Taking the Square Root of the Sum

Once we've squared and summed the differences, we need to take the square root of that sum to find the distance.

function findDistanceTwoPoints3D(x1, y1, z1, x2, y2, z2) {
    var diffX = x2 - x1;
    var diffY = y2 - y1;
    var diffZ = z2 - z1;

    var squaredSum = Math.pow(diffX, 2) + Math.pow(diffY, 2) + Math.pow(diffZ, 2);

    var distance = Math.sqrt(squaredSum);
}

Step 5: Return the Result

The last step is to return the final result. The return statement stops the function and sends the specified value back to the place where the function was called.

function findDistanceTwoPoints3D(x1, y1, z1, x2, y2, z2) {
    var diffX = x2 - x1;
    var diffY = y2 - y1;
    var diffZ = z2 - z1;

    var squaredSum = Math.pow(diffX, 2) + Math.pow(diffY, 2) + Math.pow(diffZ, 2);

    var distance = Math.sqrt(squaredSum);

    return distance;
}

Conclusion

And there you have it! You've created a function in JavaScript that can calculate the distance between two points in a 3D space. This function takes six parameters, which represent the coordinates of the two points, implements the appropriate mathematical formula, and returns the calculated distance.