Calculate the Magnitude of Vector h

Explanation:

To find the magnitude of the vector h:

Given the initial point (x1, y1) = (8.2, 9.6) and the terminal point (x2, y2) = (4.3, -2.7), we use the formula:

|h| = √((x2 - x1)² + (y2 - y1)²)

Substitute the values and calculate as follows:

|h| = √((4.3 - 8.2)² + (-2.7 - 9.6)²)

|h| = √((-3.9)² + (-12.3)²)

|h| = √(15.21 + 151.29)

|h| = √(166.5)

Therefore, the magnitude of vector h, rounded to the nearest thousandth, is approximately 12.903.