relics of hyrule hall of the vigilant
I highly suggest simply exploring and finding the hint notes, but if you must know...


Blade of Evil's Bane:
 Eldergleam Sanctuary or Ancestor Glade (Dawnguard only)
 Recipes in Darklight Tower, Kilkreath Ruins, Hall of the Vigilant and Stendarr's Beacon

Hylian Shield:
 Labrynthian, Eldergleam Sanctuary, Blackreach. Also craftable

Mirror Shield Great Sea:
relics of hyrule hall of the vigilant How to use it? relics of hyrule hall of the vigilant
 Lake Yorgrim, near Bronze Water Cave

Iron Boots:
 volskygge

Hover Boots:
 Voluruud

Terminan Shield:
 Entrance of Darkwater Pass
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 East of Rorikstead
 Talking Stone Camp
Gems are at
 Sunderstone Gorge (Vanilla) or Dayspring Canyon (Dawnguard)
 Arcwind Point
 North of Ravenscar Hollow, in a barrel underwater
 In the mudcrab-invested Nord ruin near the Apprentice Stone

Giant's Knife:
 Fallowstone Cave
relics of hyrule hall of the vigilant How to get it? relics of hyrule hall of the vigilant

Golden Gauntlets:
 Forelhost

Silver Gauntlets:
 Ragnvald

Great Fairy's Sword:
 Blackreach - Silent Ruin

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Mirror Shield Desert:
 Kagrenzel
 Ansilvund

Hero's Clothes:
 Bleak Falls Barrow
 Ustengrav
 Sky Haven Temple

 Rimerock Burrow 
relics of hyrule hall of the vigilant How to use it? relics of hyrule hall of the vigilant
 Brinehammer 
 Dean Men's Respite
 Avanchnzel
 Raldbthar

 Angarvunde
 Hag's End
  Haemar's Shame
 Folgunthur

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Hero's Armor:
 Blackreach - War Quarters
 Nchuand Zel - Armory
 Tolvald's Cave
 
 Snowpoint Beacon
 Forgotten Vale Inner Sanctum (Dawnguard only)

Arrows:
Light - Near Shrine to Peryite
relics of hyrule hall of the vigilant How to use it? relics of hyrule hall of the vigilant
Ice - near The Chill
Fire - East of Geirmund's Hall

Spells:
Din's Fire - Silverdrift Lair
Nayru's Love - Shroud hearth Barrow
Farore's wind - Lost Valley Redoubt

Majora's Mask:
Northeast of Wreck of the Winter War, on an icy island
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Mirror Shield of the Well:
Yngol Barrow

Skull Hammer:
Kinolangdanzel

Staff of Skulltula:
Kinolangdanzel

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Bows:
Fairy: Secret Grotto in Rorikstead
Terminan: Valthume
Hero's: High Gate Ruins
Bow of the Great Sea: Top of Kinolangdanzel Tower
Zelda's Bow: The Door Behind the Gate

Sacred Shield:
Kinolangdanzel
Lost Echo Cave
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Magical Shield:
Liar's Retreat
relics of hyrule hall of the vigilant