I am completely self taught in Calculus, but I would like to have a better understanding of it before I go to College. I was looking up problems and came across this:(adsbygoogle = window.adsbygoogle || []).push({});

What is the distance d between the point A(2,-6,1) and the line l through B(3,4,-2) and C(7,-1,5)?

I attempted this by finding 3 slope formulas of the line between B and C in terms of alternating variables. (I already know this can't quite work, as the final formula will have multiple variables with no chance for substitution or elimination ). But nevertheless, I continued by creating a distance formula plugging in the slopes I got earlier for the x, y, and z variables. Remembering how to do optimization in single variable calculus, I took the derivative of the formula. I actually used a dell operator and set the numerator equal to zero. But this is definitely impossible. So now I need someone to help me out with this! Thanks!

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# 3-Dimensional Optimization

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