Vector Properties

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The property a⃗ × b⃗ = -(b⃗ × a⃗) shows that cross product is

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1. **Comparison to Algebra**: In standard multiplication, $a 	imes b = b 	imes a$. 
2. **Vector Specifics**: In cross products, the direction depends on the order of arguments (Right-Hand Rule).
3. **Result**: Swapping the order results in a vector of equal magnitude but exactly **opposite direction** (sign change).
4. **Identification**: This behavior is called **anti-commutative** property.

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