"Published in Newark, California, USA"
Find the centroid of the following weights: 2 lbs at (3, 0, 1), 5 lbs at (-2, 3, 2), and 9 lbs at (4, 1, 4).
Solution:
To illustrate the problem, it is better to draw the figure as follows
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| Photo by Math Principles in Everyday Life |
The total weight of the three weights is
The x value of the centroid is calculated as follows
The y value of the centroid is calculated as follows
The z value of the centroid is calculated as follows
Therefore, the centroid of the three weights is
