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Find the vector product of \( (2 \vec{A}+3 \vec{B}) \) and \( (3 \vec{A}-4 \vec{B}) \). |
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Answer» Given \((2\vec A + 3\vec B) \) and \((3\vec A - 4\vec B)\) Vector product \((2\vec A + 3\vec B) \times (3\vec A - 4\vec B)\) \(= 2(\vec A \times \vec A) - 8 (\vec A \times \vec B) + 9(\vec B\times \vec A) - 12 (\vec B \times \vec B)\) \(= - 8(\vec A \times \vec B) - 9(\vec A \times \vec B) - 0\) \(= -17 (\vec A \times \vec B)\) |
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