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Five things I learned about using Photoshop and Illustrator together:
1. Build your document the same size in Photoshop and Illustrator
2. You can place a photoshop document in Illustrator as a smart obect
3. By using the blend mode and gradients you can get shape and form
4. Using a bounding box helps know where things should be placed when going back and forth between Photoshop and Illustrator
5. When placing a smart image from Illustrator to Photoshop it is resolution independent. You can update a source file by double clicking on the layer, and it will open to edit in Illustrator.