Chet Fidelity Login Leak? Heres How to Secure Your Account Instantly!

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Chet Fidelity Login Leak? Heres How to Secure Your Account Instantly!

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Question:** In a 3D vector space modeling neural network parameters, suppose $\mathbf{x}, \mathbf{y}, \mathbf{z}$ are unit vectors such that $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$. Find the maximum possible value of $\mathbf{x} \cdot \mathbf{y}$.
Solution:** Since $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$, then $\mathbf{z} = -(\mathbf{x} + \mathbf{y})$.
Since $\mathbf{z}$ is a unit vector:

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