Meaning of 意用 in Japanese

何の用でここに来たのですか。
What has brought you here?

それから服を着て、講義用のメモを手さげ鞄に詰め込み、階段を駆け下りた。
Then he got dressed, stuffed his lecture notes into his briefcase, and ran down the stairs.

あなたのご親切に対し深く感謝の意を表します。
I wish to express my deep appreciation for your kindness.

私は彼らの沈黙を承諾の意にとった。
I interpreted their silence as consent.