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Home » Thus, the limiting value is \(\boxed\frac13\). - Abbey Badges

Thus, the limiting value is \(\boxed\frac13\). - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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\mathbf{v} \times \mathbf{a} = \mathbf{b}
\quad \text{with } \mathbf{a} = \langle 2, -1, 3 \rangle, \mathbf{b} =...
Compute $ \mathbf{v} \times \mathbf{a} $:
x & y & z \\
& -1 & 3 \\
= \mathbf{i}(y \cdot 3 - z \cdot (-1)) - \mathbf{j}(x \cdot 3 - z \cdo...
= \mathbf{i}(3y + z) - \mathbf{j}(3x - 2z) + \mathbf{k}(-x - 2y)
= \langle 3y + z, -3x + 2z, -x - 2y \rangle
Set equal to $ \langle 4, 5, -1 \rangle $:
3y + z = 4 \quad \text{(1)}\\

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