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Home » Subtract 4 from both sides: \( x = 6 \). - Dachbleche24

Subtract 4 from both sides: \( x = 6 \). - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \mathbf{p} + k\mathbf{q} = \langle 2 - 4k, -1 + 5k, 3 + k

📌 Now compute the dot product with $\mathbf{r} = \langle 1, 2, -2

📌 + 4k = 0 \Rightarrow k = rac{3}{2}

📌 oxed{rac{3}{2}}

📌 Question: A palynologist models pollen distribution across a region using vectors. Given that $\mathbf{u} = \langle 3, -2, 1

📌 angle$ and $\mathbf{v} = \langle -1, 4, 2

📌 angle$, find the vector $\mathbf{w}$ such that $\mathbf{w} imes \mathbf{u} = \mathbf{v}$.

📌 Solution: Let $\mathbf{w} = \langle w_1, w_2, w_3

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