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Normalize the vectors (create unit vectors in the same directions).

Normalized Vectors

normalized vectors in various directions


The diagram shows each vector after it has been normalized. (Remember, this means creating a unit vector in the same direction as the original vector).

Recall that a subscript u indicates a unit vector: bu.


Now which dot product is larger?   au · bu ,  or au · cu  ?

Hint: remember that u · v   =   |u||v| cos θ. But now both vectors have length 1.0.