Do I use a Vector Progection?

Mathimatician

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Mar 24, 2015
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Given the following force (F) applied on a sled over displacement (d):
F = [3, -5, 2], d = [5, -1, 3]

What would be the minimum magnitude force required in order to achieve the same displacement?

My solution is to use a scalar projection of F onto d.

Magnitude of F projected onto d = (F dot d)/|d|,

This will tell me how much of the force is going in the direction of d. This is the minimum required force...

Is this correct?
 
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