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Exercise 3.3

Express the square of the component of v ⟶ in the direction of w ⟶ in terms of dot products.

Solution:

By definition this square is | v ⟶ | 2 cos ⁡ 2 θ where θ is the angle between v ⟶ and w ⟶ , which is ( v ⟶ , w ⟶ ) 2 ( w ⟶ , w ⟶ ) .

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