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Home » Question: Expand the product $ (5a - 3b)(2a + 7b) $. - High Altitude Science

Question: Expand the product $ (5a - 3b)(2a + 7b) $. - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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\theta = 90^\circ \quad \text{and} \quad \theta = 270^\circ.
Checking these values in the original equation, we find \(\sin(180^\ci...
Thus, the complete set of solutions is:
\(\theta = 30^\circ, 90^\circ, 150^\circ, 270^\circ\).
\boxed{30^\circ, 90^\circ, 150^\circ, 270^\circ}
Find the vector \(\mathbf{v}\) such that \(\mathbf{v} \times \mathbf{b...
The vector cross product \(\mathbf{v} \times \mathbf{b} = \langle v_1,...
\mathbf{v} \times \mathbf{b} = \langle v_3 \cdot 1 - v_2 \cdot 0, v_1...
We set this equal to \(\langle 1, 0, -1 \rangle\), resulting in the sy...
v_3 = 1, \quad 0 = 0, \quad -v_1 = -1.

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