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Home » Dividing both sides by 3, \( w^2 = 64 \). - High Altitude Science

Dividing both sides by 3, \( w^2 = 64 \). - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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z_1 \cdot z_2 = (3 + 4i)(1 - 2i)
Expanding this, we get:
= 3 \cdot 1 + 3 \cdot (-2i) + 4i \cdot 1 + 4i \cdot (-2i)
= 3 - 6i + 4i - 8i^2
Recall that \(i^2 = -1\). Substituting, we have:
= 3 - 6i + 4i + 8
= (3 + 8) + (-6i + 4i)
= 11 - 2i
Thus, the product of the force fields is:
\boxed{11 - 2i}

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