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Home » Length: \( 3 \times 8 = 24 \). - Abu Waleed Tea

Length: \( 3 \times 8 = 24 \). - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 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

📌 angle$. The cross product $\mathbf{w} imes \mathbf{u} = \mathbf{v}$ can be written as:

📌 egin{vmatrix} \mathbf{i} & \mathbf{j} & \mathbf{k} \ w_1 & w_2 & w_3 \ 3 & -2 & 1 \end{vmatrix} = \langle -1, 4, 2

📌 Compute the cross product:

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