Use a specific example then expand to the general case to determine if the cross product has the associative property. T
Posted: Thu Jul 14, 2022 4:31 pm
Use a specific example then expand to the general case to determine if the cross product has the associative property. That is, determine if a×(b×c)=(a×b)×c? Verify using an example that (a+b)×(a−b)=2(a×b). Use a specific example then expand to the general case to determine if the cross product has the distributive property. Use a specific example then expand to the general case to determine what happens under Scalar multiplication. That is, determine if k(a×b)=(ka)×b=a×(kb)? Verify (a+b)×(a+b)=0. What can be said about two vectors whose cross product is zero?