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Prove that [ vec a , vec b , vec c+ vec ...

Prove that `[ vec a , vec b , vec c+ vec d]=[ vec a , vec b , vec c]+[ vec a , vec b , vec d]`

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To prove that \([ \vec{a}, \vec{b}, \vec{c} + \vec{d} ] = [ \vec{a}, \vec{b}, \vec{c} ] + [ \vec{a}, \vec{b}, \vec{d} ]\), we will use the properties of the scalar triple product. ### Step-by-Step Solution: 1. **Understanding the Left-Hand Side (LHS)**: We start with the left-hand side: \[ [ \vec{a}, \vec{b}, \vec{c} + \vec{d} ] ...
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