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Home » So, \( 36 + b^2 = 100 \). - Abu Waleed Tea

So, \( 36 + b^2 = 100 \). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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Solution:** Since $\mathbf{x} + \mathbf{y} + \mathbf{z} = \mathbf{0}$,...
Since $\mathbf{z}$ is a unit vector:
\|\mathbf{z}\|^2 = \|\mathbf{x} + \mathbf{y}\|^2 = 1
\Rightarrow \|\mathbf{x}\|^2 + \|\mathbf{y}\|^2 + 2\mathbf{x} \cdot \m...
Since $\|\mathbf{x}\| = \|\mathbf{y}\| = 1$, this becomes:
+ 1 + 2\mathbf{x} \cdot \mathbf{y} = 1 \Rightarrow 2 + 2\mathbf{x} \cd...
This is the only possible value under the constraint, so the maximum i...
\boxed{-\frac{1}{2}}
Question:** A digital transformation algorithm rotates a vector in 3D...
Solution:** Use identity:

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