This example shows how to add elements to a vector in Rust. We start by creating an empty vector with Vec::new() and declare it mutable using 'mut' so we can change it. Then we add elements 10 and 20 using the push() method. Each push adds one element to the vector, growing it. Finally, we print the vector to see its contents. The execution table traces each step, showing the vector's content after each push and the output when printed. Remember, without 'mut', Rust will not allow push() because it changes the vector. This step-by-step trace helps understand how vectors grow and how push() works in Rust.