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Home » For a particular solution, choose $ y = 0 $: - High Altitude Science

For a particular solution, choose $ y = 0 $: - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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angle$, leading to the system:
w_2 + 2w_3 = -1 \quad ext{(1)} \
3w_3 - w_1 = 4 \quad ext{(2)} \
-2w_1 - 3w_2 = 2 \quad ext{(3)}
From (1): $w_2 = -1 - 2w_3$.
From (2): $w_1 = 3w_3 - 4$.
Substitute into (3):
-2(3w_3 - 4) - 3(-1 - 2w_3) = 2 \
-6w_3 + 8 + 3 + 6w_3 = 2 \Rightarrow 11 = 2
Contradiction. Hence, no such vector $\mathbf{w}$ exists.

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