Lord Shiva stays in samadhi state and not in any meditative mode, the traditional shaivite scholars including some of the great Vedantic Advaitins see Lord Shiva as the state of "Turiyam" i.e the forth state which is pure consciousness (Shudda Chethana).
Whereas Lord Vishnu worshipping his Lord for Sudarshana chakra is evident from Hari vamsha ...
Gayatri Mantra is credited to sage Vishwamitra. He derived Gayatri mantra from the following verse of Rig Veda which is a prayer to the Sun god (Savitar).
"tat saviturvareṇyaṃ bhargho devasya dhīmahi
dhiyo yo naḥ pracodayāt " (RV 3:62:10)
"May we attain that excellent glory of Savitar the God: So May he stimulate our prayers".
When this ...