Geometric Interpretation of the Dot Product

This worksheet demonstrates a geometric property of the dot product. (The yellow points may be moved.)
What are the dimensions of the blue rectangle in terms the vectors [math]\mathbf{u}[/math] and [math]\mathbf{v}[/math] and the angle [math]\theta[/math]?
What is the area of the blue rectangle in terms of the vectors [math]\mathbf{u}[/math] and [math]\mathbf{v}[/math]?
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Information: Geometric Interpretation of the Dot Product