Vanaheim is home to the Vanir.

The Vanir won. The Aesir ended up surrendering their monopoly on human worship by sharing it with the Vanir, making them equals.

The aesir and the vanir.

A long time ago there was a war between the aesir and the vanir, but later they made peace. The vanir sent Njord and his children Freyr and Freyja to live with the aesir in Asgard, who in turn sent Mimir and Odin's brother Haenir to live with the vanir in Vanaheim.

The vanir are associated with nature, fertility, love, the earth, weather and magic, especially seidhr. The aesir are associated with war, the sky, wisdom and rune magic.

Both true and false.

The three foremost vanir: Njord, Freyr and Freyja, originally lived in Vanaheim, but moved to Asgard. Njord, Freyr and Freyja are the only vanir named in the old writings and are the only ones considered to be "gods." The rest of the vanir still live in Vanaheim.

Vanir