Final answer:
In the novel, Lady Galadriel gives Frodo a vial of light, Sam a box of soil, and Aragorn a silver brooch. Each gift is appropriate and aids its recipient in their respective roles and quests.
Step-by-step explanation:
In J.R.R. Tolkien's novel The Fellowship of the Ring, Lady Galadriel presents the members of the Company with gifts before their departure from Lothlórien. To Frodo, she gives a vial containing the light of Eärendil, which illuminates dark places and is a symbol of hope. This gift aids Frodo in his quest by providing him with a source of light and courage in moments of darkness and despair.
To Sam, Lady Galadriel gives a box of soil from her garden, which represents the gift of growth and renewal. This gift aids Sam in his role as Frodo's loyal and steadfast companion, as it serves as a reminder of the beauty and potential of the natural world, even in the midst of darkness.
Lastly, to Aragorn, Lady Galadriel presents a silver brooch in the shape of a crowned tree, symbolizing his rightful place as the future king. This gift aids Aragorn by reaffirming his destiny and providing him with a tangible reminder of his noble lineage and the responsibility he carries.