Imparted by the Lord into the first sage's heart
The Lord gave the Vedic wisdom through the heart to the Adi-kavi: 'tene brahma hrda ya adi-kavaye' (SB 1.1.1).
Scripture
Vedas
वेद
Also known as श्रुति · निगमकल्पतरु · वेदतरुः · त्रयी · Shruti · Nigama-kalpa-taru (the wish-yielding tree of the Vedas) · Veda-taru (the tree of the Vedas) · Trayi (the threefold Veda)
The Vedas are Hinduism's oldest scripture: the four collections (Rig, Yajus, Sama, Atharva) with their Brahmana-Aranyaka-Upanishad literature, whose compilation tradition links to Vyasa. SB 1.3.21: Vyasa divided the one Veda into four; SB 1.4.20 names the four; the Itihasa-Purana is declared the fifth Veda; the Bhagavata is the Veda-tree's ripened fruit (1.1.3).
Śrīmad Bhāgavata Mahāpurāṇa 1.1.1 — Sanskrit Wikisource (pinned oldid=110172)
Entirely meant for Vasudeva
The Vedas, sacrifices, yogas and actions are all for Vasudeva: 'vasudeva-para vedah' (SB 1.2.28).
Became branch-bearing through the disciples' lineages
'Śiṣyaiḥ praśiṣyais tad-śiṣyair vedās te śākhino 'bhavan' (SB 1.4.23).
Vedas — meant for — Krishna
The Vedas are entirely meant for Vasudeva: 'vasudeva-para vedah' (SB 1.2.28). Evidence: EXPLICIT.