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Consider the points closest to the origin on the planes x + y + z = a.

Consider the points closest to the origin on the planes x + y + z = a. Correct Answer The closest point travels farther as a is increased

The intercept of the planes increase as we increase the a value. Hence, we may conclude that the closest point of lower a value plane would be closer to the origin. The Lagrange multiplier set up can be used to verified this.

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