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For two vectors vecP and vecQ , show tha...

For two vectors `vecP and vecQ` , show that
`(vecP+vecQ)xx(vecP-vecQ)=2(vecQxxvecP)`

Text Solution

AI Generated Solution

To prove that \((\vec{P} + \vec{Q}) \times (\vec{P} - \vec{Q}) = 2(\vec{Q} \times \vec{P})\), we will start by expanding the left-hand side using the distributive property of the cross product. ### Step-by-Step Solution: 1. **Start with the Left-Hand Side (LHS)**: \[ \text{LHS} = (\vec{P} + \vec{Q}) \times (\vec{P} - \vec{Q}) \] ...
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