Questions on Solution in Mechanics

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SUMMARY

The discussion centers on the method for finding the minimum value of a function through differentiation, specifically setting the derivative to zero. Participants clarify that this approach yields both maximum and minimum values, with the understanding that if a maximum does not exist, a minimum can be assumed. Additionally, the impact of vector orientation on distance is highlighted, particularly when vectors are not perpendicular, affecting the distance from point P to point Q.

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EDIT: On the first image, I meant why is it equated to Zero, not X​


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1. Do you know how to find the minimum value of a function? You differentiate it and set the derivative to 0. This will give you both maximum and minimum values, but if you already know the function can't have a maximum, you can assume that you've found a minimum.

2. See the diagram at the right. You can see that if P is moved a little, so that the two vectors are no longer perpendicular, the distance from P to Q would get longer.

3. They come from the components of the vector pVQ.
 

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