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In this video tutorial, we will be learning about the binary relational algebra operations, specifically the join operation and the division operation. The join operation combines tuples or rows from two relations into a single relation based on a given join condition. This operation is essential when dealing with multiple relations and data from more than one relation. The syntax for the join operation involves writing the first relation, followed by the join operator and join condition in the subscript, and then the second relation name. An example using a relation called "department" with attributes such as department name, department number, and manager SSN is provided to illustrate the concept.