$\backslash$table$[[$Characteristic$,$Cluster $1,$Cluster $2,$Cluster $3],[$Alcohol$,0\mathrm{.}819,0\mathrm{.}164,-0\mathrm{.}937],[$Malic Acid,$-0\mathrm{.}329,0\mathrm{.}869,-0\mathrm{.}368],[$Ash$,0\mathrm{.}248,0\mathrm{.}186,-0\mathrm{.}393],[$Alkalinity$,-0\mathrm{.}677,0\mathrm{.}523,0\mathrm{.}249],[$Magnesium$,0\mathrm{.}643,-0\mathrm{.}075,-0\mathrm{.}573],[$Phenols$,0\mathrm{.}825,0\mathrm{.}977,-0\mathrm{.}034],[$Flovonolds$,0\mathrm{.}896,-1\mathrm{.}212,0\mathrm{.}083],[$Nonflavonoids$,-0\mathrm{.}595,0\mathrm{.}724,0\mathrm{.}009],[$Proanthocyanidins$,0\mathrm{.}619,-0\mathrm{.}778,0\mathrm{.}010],[$Color Intensity,$0\mathrm{.}135,0\mathrm{.}939,-0\mathrm{.}881],[$Hue$,0\mathrm{.}497,-1\mathrm{.}162,0\mathrm{.}437],[$Dilution$,0\mathrm{.}744,-1\mathrm{.}289,0\mathrm{.}295],[$Proline$,1\mathrm{.}117,-0\mathrm{.}406,-0\mathrm{.}776]]$

$\backslash$table$[[$Characteristic$,],[$Alcohol$,-1\mathrm{.}089],[$Malic Acid,$-0\mathrm{.}546],[$Ash$,-0\mathrm{.}017],[$Alkalinity$,0\mathrm{.}534],[$Magnesium$,-1\mathrm{.}308],[$Phenols$,1\mathrm{.}028],[$Flavonoids$,-0\mathrm{.}065],[$Nonflavonoids$,-0\mathrm{.}614],[$Proanthocyanidins$,-0\mathrm{.}295],[$Color Intensity,$-0\mathrm{.}863],[$Hue$,0\mathrm{.}645],[$Dilution$,-0\mathrm{.}491],[$Proline$,-0\mathrm{.}056]]$

Calculate the following Euclidean distances. $($Round your answers to three decimal places.$)$

Euclidean distance from new wine and Cluster $1$:

Eudidean distance from new wine and Cluster $2$:

Euclidean distance from new wine and Cluster $3$:

In which cluster of wines should he place this new wine?

Cluster $1$

Cluster $2$

Cluster $3$

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