In Vaishnava traditions it's often emphasized that Sharanagati or self surrender to Lord Vishnu is the key concept in Hindu dharma. The sum and substance of devotional life is that thing called Sharanagati.
It is exactly Sharanagati the means to attain the ultimate goal of life, namely Lord Vishnu, and when finally the Lord is attained Sharanagati is the goal itself, namely Sharanagati or self surrender to Lord Vishnu is to be maintained forever.
The concept or an idea of Sharanagati is seen in many verses in Smriti scriptures. For example the famous charama verse of the Bhagavad gita 18.66 sarva-dharmān parityajya mām ekaṁ śaraṇaṁ vraja ahaṁ tvāṁ sarva-pāpebhyo mokṣayiṣyāmi mā śucaḥ "Abandon all varieties of religion and just surrender (śaraṇam) unto Me. I shall deliver you from all sinful reactions. Do not fear." Vaishnava traditions often say represents the most important or the key verse of the Gita.
Since Sharanagati is so much important concept to the Hindu dharma it is supposed to be based on Sruti. So, I wonder where in Sruti do we find the concept of Sharanagati or jiva soul's self surrender to the Lord Vishnu.
Please specify any verse from Sruti in which you recognize the concept of Sharanagati to the Lord, even if names "Vishnu" or "Narayana" are not seen in the verse. Also please explain why you think the verse that you quote is about Sharanagati, ie what do you see in the verse makes you think it's about Sharanagati. This is especially important if in the verse some words or expressions such as "surrender" or "I take shelter (in the Lord)", etc, are not seen.