Yes you can definitely get seat in AMRITA bangalore campus with 6980 rank in AEEE as according to last year cutoff you are comfortably inside the cutoff. 

Amrita, Bangalore is one of the five campuses of Amrita Vishwa Vidyapeetham. The campus is located on the outskirts of Bengaluru city in Kasavanahalli. The campus was established in 2003.Amrita Vishwa Vidyapeetham, Bangalore Campus offers 4-year B.Tech in 5 specializations. Candidates who have passed 10+2 with minimum 60% marks in Physics, Chemistry and Mathematics combined are eligible for admission. Admission to B.Tech is based on the valid score in AEEE followed by counselling.