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If A = {a,b,c} and B = {x, y, z}. Find A x B and B * A.

User AndyO
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Final answer:

The Cartesian product A x B of two sets A = {a,b,c} and B = {x,y,z} results in a set of ordered pairs. The operation B * A is undefined in the context of set theory, and may be a typo or confusion with dot or cross product in vector operations.

Step-by-step explanation:

The question involves finding the Cartesian product of two sets, A and B, denoted as A x B, and then what seems to be a malformed operation B * A, which is not clearly defined in standard set or vector operations. For the Cartesian product:

  • A x B = {(a,x), (a,y), (a,z), (b,x), (b,y), (b,z), (c,x), (c,y), (c,z)}

Each pair represents a combination of one element from A and one element from B.

The operation B * A could be a typo or confusion with either the dot product or cross product if A and B are vectors, but since A and B are provided as sets, this operation is undefined in this context. More information would be needed to provide a meaningful answer to B * A.

User Story Ks
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