Let be nonzero vectors and

Prove that has the same direction as .

*Proof.* To show that and have the same direction we must show that there exists a constant such that . So, we compute,

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Stumbling Robot

A Fraction of a Dot
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Prove that *F′′(t)* has the same direction as a given *F(t)*

Let be nonzero vectors and

Prove that has the same direction as .

*Proof.* To show that and have the same direction we must show that there exists a constant such that . So, we compute,