Arjuna addresses Lord Kṛṣṇa as "lotus-eyed" (Kṛṣṇa's eyes appear just like the petals of a lotus flower) out of his joy, for Kṛṣṇa has assured him, in the previous chapter, ahaṁ kṛtsnasya jagataḥ prabhavaḥ pralayas tathā: "I am the source of the appearance and disappearance of this entire material manifestation." Arjuna has heard of this from the Lord in detail. Arjuna further knows that in spite of His being the source of all appearances and disappearances, He is aloof from them. As the Lord has said in the Ninth Chapter, He is all-pervading, yet He is not personally present everywhere. That is the inconceivable opulence of Kṛṣṇa which Arjuna admits that he has thoroughly understood.
(Bhagavad-Gita----11:2----purport).

The Lord said that because He entered into the material universe by His personal representation, the cosmic manifestation has been made possible and is going on. Now as far as Arjuna is concerned, he is inspired by the statements of Kṛṣṇa, but in order to convince others in the future who may think that Kṛṣṇa is an ordinary person, Arjuna desires to see Him actually in His universal form, to see how He is acting from within the universe, although He is apart from it. Arjuna's addressing the Lord as puruṣottama is also significant. Since the Lord is the Supreme Personality of Godhead, He is present within Arjuna himself; therefore He knows the desire of Arjuna, and He can understand that Arjuna has no special desire to see Him in His universal form, for Arjuna is completely satisfied to see Him in His personal form of Kṛṣṇa. But the Lord can understand also that Arjuna wants to see the universal form to convince others. Arjuna did not have any personal desire for confirmation. Kṛṣṇa also understands that Arjuna wants to see the universal form to set a criterion, for in the future there would be so many imposters who would pose themselves as incarnations of God.
(Bhagavad-Gita----11:3----purport).

Every living entity is only a spiritual spark; therefore it is not possible to see or to understand the Supreme Lord. Arjuna, as a devotee, does not depend on his speculative strength; rather, he admits his limitations as a living entity and acknowledges Kṛṣṇa's inestimable position. Arjuna could understand that for a living entity it is not possible to understand the unlimited infinite. If the infinite reveals Himself, then it is possible to understand the nature of the infinite by the grace of the infinite. The word yogeśvara is also very significant here because the Lord has inconceivable power. If He likes, He can reveal Himself by His grace, although He is unlimited. Therefore Arjuna pleads for the inconceivable grace of Kṛṣṇa. He does not give Kṛṣṇa orders. Kṛṣṇa is not obliged to reveal Himself unless one surrenders fully in Kṛṣṇa consciousness and engages in devotional service.
(Bhagavad-Gita----11:4----purport).

Arjuna wanted to see Kṛṣṇa in His universal form, which, although a transcendental form, is just manifested for the cosmic manifestation and is therefore subject to the temporary time of this material nature. As the material nature is manifested and not manifested, similarly this universal form of Kṛṣṇa is manifested and nonmanifested. It is not eternally situated in the spiritual sky like Kṛṣṇa's other forms. As far as a devotee is concerned, he is not eager to see the universal form, but because Arjuna wanted to see Kṛṣṇa in this way, Kṛṣṇa reveals this form. This universal form is not possible to be seen by any ordinary man. Kṛṣṇa must give one the power to see it.
(Bhagavad-Gita----11:5----purport).

The fact is that the devotee is not concerned with seeing the viśva-rūpa, the universal form, but Arjuna wanted to see it to substantiate Kṛṣṇa's statements so that in the future people could understand that Kṛṣṇa not only theoretically or philosophically presented Himself as the Supreme but actually presented Himself as such to Arjuna. Arjuna must confirm this because Arjuna is the beginning of the paramparā system. Those who are actually interested in understanding the Supreme Personality of Godhead, Kṛṣṇa, and who follow in the footsteps of Arjuna should understand that Kṛṣṇa not only theoretically presented Himself as the Supreme, but actually revealed Himself as the Supreme.
(Bhagavad-Gita----11:8----purport).

Arjuna saw in that universal form unlimited mouths, unlimited eyes, unlimited wonderful visions. The form was decorated with many celestial ornaments and bore many divine upraised weapons. He wore celestial garlands and garments, and many divine scents were smeared over His body. All was wondrous, brilliant, unlimited, all-expanding.
(Bhagavad-Gita----11:10-11----translation).

The word tatra ("there") is very significant. It indicates that both Arjuna and Kṛṣṇa were sitting on the chariot when Arjuna saw the universal form. Others on the battlefield could not see this form, because Kṛṣṇa gave the vision only to Arjuna. Arjuna could see in the body of Kṛṣṇa many thousands of planets. As we learn from Vedic scriptures, there are many universes and many planets. Some of them are made of earth, some are made of gold, some are made of jewels, some are very great, some are not so great, etc. Sitting on his chariot, Arjuna could see all these. But no one could understand what was going on between Arjuna and Kṛṣṇa.
(Bhagavad-Gita----11:13----purport).

Once the divine vision is revealed, the relationship between Kṛṣṇa and Arjuna changes immediately. Before, Kṛṣṇa and Arjuna had a relationship based on friendship, but here, after the revelation, Arjuna is offering obeisances with great respect, and with folded hands he is praying to Kṛṣṇa. He is praising the universal form. Thus Arjuna's relationship becomes one of wonder rather than friendship. Great devotees see Kṛṣṇa as the reservoir of all relationships. In the scriptures there are twelve basic kinds of relationships mentioned, and all of them are present in Kṛṣṇa. It is said that He is the ocean of all the relationships exchanged between two living entities, between the gods, or between the Supreme Lord and His devotees.
(Bhagavad-Gita----11:14----purport).

Arjuna sees everything in the universe; therefore he sees Brahmā, who is the first creature in the universe, and the celestial serpent upon which the Garbhodakaśāyī Viṣṇu lies in the lower regions of the universe. This snake bed is called Vāsuki. There are also other snakes known as Vāsuki. Arjuna can see from the Garbhodakaśāyī Viṣṇu up to the topmost part of the universe on the lotus-flower planet where Brahmā, the first creature of the universe, resides. That means that from the beginning to the end, everything could be seen by Arjuna, who was sitting in one place on his chariot. This was possible by the grace of the Supreme Lord, Kṛṣṇa.
(Bhagavad-Gita----11:15----purport).

Arjuna, after hearing from Kṛṣṇa about the outcome of the Battle of Kurukṣetra, became enlightened, and as a great devotee and friend of the Supreme Personality of Godhead he said that everything done by Kṛṣṇa is quite fit. Arjuna confirmed that Kṛṣṇa is the maintainer and the object of worship for the devotees and the destroyer of the undesirables. His actions are equally good for all. Arjuna understood herein that when the Battle of Kurukṣetra was being concluded, in outer space there were present many demigods, siddhas, and the intelligentsia of the higher planets, and they were observing the fight because Kṛṣṇa was present there. When Arjuna saw the universal form of the Lord, the demigods took pleasure in it, but others, who were demons and atheists, could not stand it when the Lord was praised. Out of their natural fear of the devastating form of the Supreme Personality of Godhead, they fled. Kṛṣṇa's treatment of the devotees and the atheists is praised by Arjuna. In all cases a devotee glorifies the Lord because he knows that whatever He does is good for all.
(Bhagavad-Gita----11:36----purport).

By this offering of obeisances, Arjuna indicates that Kṛṣṇa is worshipable by everyone. He is all-pervading, and He is the Soul of every soul. Arjuna is addressing Kṛṣṇa as mahātmā, which means that He is most magnanimous and unlimited. Ananta indicates that there is nothing which is not covered by the influence and energy of the Supreme Lord, and deveśa means that He is the controller of all demigods and is above them all. He is the shelter of the whole universe. Arjuna also thought that it was fitting that all the perfect living entities and powerful demigods offer their respectful obeisances unto Him, because no one is greater than Him. Arjuna especially mentions that Kṛṣṇa is greater than Brahmā because Brahmā is created by Him. Brahmā is born out of the lotus stem grown from the navel abdomen of Garbhodakaśāyī Viṣṇu, who is Kṛṣṇa's plenary expansion; therefore Brahmā and Lord Śiva, who is born of Brahmā, and all other demigods must offer their respectful obeisances.
(Bhagavad-Gita----11:37----purport).