Lagrange multipliers and combinations of points

Miike012 · Nov 12, 2012

I was wondering how they got all the different combinations of points? Why can't they just put

(+-√2,+-1,+-√(2/3)) ?

Ray Vickson · Nov 12, 2012

Miike012 said:

I was wondering how they got all the different combinations of points? Why can't they just put

(+-√2,+-1,+-√(2/3)) ?

When y = +1 there are two values of x and z, and when y = -1 there are two values of x and z, making a total of 8 combinations.

RGV

HallsofIvy · Nov 12, 2012

What you wrote, (+-√2,+-1,+-√(2/3)), would, by the standard conventions, be interpreted as two points, (+√2,+1,+√(2/3)) and (-√2,-1,-√(2/3))

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