Mathematics · Vector Calculus
In vector algebra, which of the following represents the correct expression of Lagrange's Identity?
- 1|a × b|2 = (a · a)(b · b) + (a · b)2
- 2|a × b|2 = (a · a)(b · b) - (a · b)2✓
- 3∇ · (a × b) = b · (∇ × a) - a · (∇ × b)
- 4a × (b × c) = b(a · c) - c(a · b)
Correct answer
|a × b|2 = (a · a)(b · b) - (a · b)2
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