Consider the vector-valued function

Prove that the angle between and is a constant.

*Proof.* First, we have

Thus,

Hence, and are orthogonal, so the angle between them is constant,

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Stumbling Robot

A Fraction of a Dot
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Prove that the angle between *F(t)* and *F'(t)* is constant for a given vector function

Consider the vector-valued function

Prove that the angle between and is a constant.

*Proof.* First, we have

Thus,

Hence, and are orthogonal, so the angle between them is constant,