Suppose I have two tensors:
a = torch.randn(10, 1000, 1, 4)
b = torch.randn(10, 1000, 6, 4)

Where the third index is the index of a vector.
I want to take the dot product between each vector in b with respect to the vector in a.
To illustrate, this is what I mean:
dots = torch.Tensor(10, 1000, 6, 1)
for b in range(10):
     for c in range(1000):
           for v in range(6):
            dots[b,c,v] = torch.dot(b[b,c,v], a[b,c,0]) 

How would I achieve this using torch functions?