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| = â((x2 - x1)² + (y2 - y1)²)
Substitute the values and calculate as follows:
|h| = â((4.3 - 8.2)² + (-2.7 - 9.6)²)
|h| = â((-3.9)² + (-12.3)²)
|h| = â(15.21 + 151.29)
|h| = â(166.5)
Therefore, the magnitude of vector h, rounded to the nearest thousandth, is approximately 12.903.