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Home » Convert to grams: \( 18 \times 1000 = 18,000 \, \textg \) - Midis

Convert to grams: \( 18 \times 1000 = 18,000 \, \textg \) - Midis

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 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.

📌 oxed{ ext{No such vector } \mathbf{v} ext{ exists}}

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