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Associative property Prove in two ways that for scalars a
Chapter 10, Problem 61AE(choose chapter or problem)
QUESTION:
Associative property Prove in two ways that for scalars a and b, \((a \mathbf{u}) \times(b \mathbf{v})=a b(\mathbf{u} \times \mathbf{v})\). Use the definition of the cross product and the determinant formula.
Questions & Answers
QUESTION:
Associative property Prove in two ways that for scalars a and b, \((a \mathbf{u}) \times(b \mathbf{v})=a b(\mathbf{u} \times \mathbf{v})\). Use the definition of the cross product and the determinant formula.
ANSWER:Solution 61AEStep 1 of 4:In this problem we have to prove (au) × (bv) = ab(u × v) by using the definition of cross product and determinant formula.To prove: (au) × (bv) = ab(u × v) for scalars a and b.