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sprinkler too deep down leaking water - Feedz API

📅 May 16, 2026 👤 scraface

May 16, 2026

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📌 ight) + 1 = rac{16}{5} + rac{5}{5} = rac{21}{5}$.

📌 Thus, the closest point is $\left(rac{8}{5}, rac{21}{5}

📌 oxed{\left( \dfrac{8}{5},\ \dfrac{21}{5}

📌 Question: Find the vector $\mathbf{v}$ that satisfies $\mathbf{v} imes \mathbf{a} = \mathbf{b}$, where $\mathbf{a} = \langle 1, 2, 3

📌 angle$ and $\mathbf{b} = \langle 4, 5, 6

📌 Solution: The vector equation $\mathbf{v} imes \mathbf{a} = \mathbf{b}$ has a solution only if $\mathbf{a} \cdot \mathbf{b} = 0$, since the cross product is perpendicular to $\mathbf{a}$.

📌 \mathbf{a} \cdot \mathbf{b} = 1(4) + 2(5) + 3(6) = 4 + 10 + 18 = 32

📌 Since the dot product is not zero, there is **no** vector $\mathbf{v}$ such that $\mathbf{v} imes \mathbf{a} = \mathbf{b}$. The equation is inconsistent.

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