So I have a problem that I encountered and I don't know what object I am looking at. So there are two manifolds $M_1$ and $M_2$ and a smooth map $f:M_1\rightarrow M_2$. We know that there is a vector bundle $\pi_2:E_2\rightarrow M_2$, and we also have a pullback vector bundle $\pi_1:f^\ast E_2\rightarrow M_1$. I want to know what exactly is the vector bundle with total space $T^\ast M_1\otimes f^\ast(E_2)$. I'm supposed to find a smooth section in this vector bundle, but I have no idea what the vector bundle is. Is it the map $T^\ast E_1\otimes f^\ast(E_2)\rightarrow M_1\otimes M_1$, this construction didn't make sense to me, so I thought it might be $T^\ast M_1\otimes f^\ast(E_2)\rightarrow T^\ast M_1$. Any thoughts on what it should be?
For reference this is the problem I'm looking at. It is part (c)