Among all unit vectors u?=??x??y??z? in ?³, find the one for which the sum x + 2y + 3z is minimal. u = [? ? ?]
Added by Victor Manuel H.
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The sum x + 2y + 3z is a linear function in R3. To minimize this sum, we need to find the direction in which this function decreases the fastest. This direction is given by the negative gradient of the function. Show more…
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