Finding the points on a surface that are closest to the origin | Optimization in Multivariable

Typo 7:52 : the second point should be (0,-3,0). sorry
Another related example: • Optimization in Multiv...
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[@johncarrera8654]

literally looked up "find the points on the surface nearest to the origin", clicked the first video and its the exact question on my classwork, god bless you 🙏

[@notnemeziz]

very helpful............i had this exact question in my endsem paper.....mind telling me where you got the question from ?

[@JANIAB]

Hello, happy to help! I got the question from a colleague I collaborate with.

[@notnemeziz]

@@JANIAB ohk

[@eaterofcrayons7991]

at 3:59, why does -z/2 = 2z --> z=4z, and why can we conclude z is 0? Is division by z not improper because z could = 0?

[@JANIAB]

At 3:38: I made a typo. I should have -z/2=-2z --> z=4z. We are not dividing here to solve for z. The equation z=4z can also be written as 0=3z--> z=0.