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Questions and Answers
What is the condition for two ordered pairs (a,b) and (a',b') to be equal?
What is the condition for two ordered pairs (a,b) and (a',b') to be equal?
- a=a' and b=b' (correct)
- a and a' are elements of the same set
- b and b' are elements of the same set
- a and a' are subsets of each other
What is the main difference between the sets {a,b} and {b,a} and the ordered pairs (a,b) and (b,a)?
What is the main difference between the sets {a,b} and {b,a} and the ordered pairs (a,b) and (b,a)?
- The size of the sets
- The number of elements
- The order of elements (correct)
- The type of elements
What is the term used to describe an ordered collection of n elements?
What is the term used to describe an ordered collection of n elements?
- n-dimensional vector (correct)
- Cartesian product
- Ordered n-tuple
- n-ordered pair
What is the geometric interpretation of an n-dimensional vector when n=2?
What is the geometric interpretation of an n-dimensional vector when n=2?
What is the condition for two n-dimensional vectors (a_1,a_2,a_3,...,a_n) and (a'_1,a'_2,a'_3,...,a'_n) to be equal?
What is the condition for two n-dimensional vectors (a_1,a_2,a_3,...,a_n) and (a'_1,a'_2,a'_3,...,a'_n) to be equal?
What is the minimum number of sets required to form a Cartesian product?
What is the minimum number of sets required to form a Cartesian product?
What is the Cartesian product of sets A and B denoted by?
What is the Cartesian product of sets A and B denoted by?
In the Cartesian product of sets, what is important about the order of elements in pairs?
In the Cartesian product of sets, what is important about the order of elements in pairs?
What is the Cartesian product of n sets denoted by?
What is the Cartesian product of n sets denoted by?
What is the special case of the Cartesian product of sets A_1, A_2, A_3,..., A_n, when all sets are equal?
What is the special case of the Cartesian product of sets A_1, A_2, A_3,..., A_n, when all sets are equal?
What is the 2nd Cartesian power of set A also called?
What is the 2nd Cartesian power of set A also called?
What is the result of the Cartesian product of sets A, B, and C, when A={x,y}, B={10,20}, and C={%, $}?
What is the result of the Cartesian product of sets A, B, and C, when A={x,y}, B={10,20}, and C={%, $}?
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