Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Year 12s: what will be the first way you research your future options? >>

Lagrange multipliers

I'm not sure if this question has anything to do with it but I'm assuming it does. Find the minimum distance from the origin to the surface xyz=1. I tried using lagrange multipliers, i got the solutions and the value of lambda. Just a bit stuck and not sure what to do next. :s-smilie:

:s-smilie:

Original post by JBKProductions

Find the minimum distance from the origin to the surface xyz=1. I tried using lagrange multipliers, i got the solutions and the value of lambda. Just a bit stuck and not sure what to do next. :s-smilie:

:s-smilie:

Well, what values did you get?

OP

Original post by Miss Mary

Well, what values did you get?

I got the solutions (1,1,1), (-1,1,-1), (-1,-1,1) and (1,-1,-1) and lambda as 2.

Original post by JBKProductions

I got the solutions (1,1,1), (-1,1,-1), (-1,-1,1) and (1,-1,-1) and lambda as 2.

Okay then, since the question says "find the minimum distance", and the distance from any point

(x,y,z)

to the origin is given by

f(x,y,z)=\sqrt{x^2+y^2+z^2}

, you can say that the minimum distance is

\sqrt{3}

. It's the same distance from any of your 3 points.

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