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\(t = \frac499.8 = 5\) seconds. - Simpleprint

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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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)}\\
-3x + 2z = 5 \quad \text{(2)}\\
-x - 2y = -1 \quad \text{(3)}

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