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May 3, 2024 · A pair of quantities (, ) where ordering is significant, so (, ) is considered distinct from (, ) for .. See also List, Multiset, Ordered Pairs Representation, Pair, Set, Vector
Aug 15, 2023 · Plot the following ordered pairs of whole numbers: (3, 2), (8, 6), and (2, 7). Solution. Create a Cartesian coordinate system on graph paper, then: To plot the ordered pair (3, 2), start at the origin, then move 3 units to the right and 2 units up. To plot the ordered pair (8, 6), start at the origin, then move 8 units to the right and 6 units ...
Definition Of Ordered Pair. A pair of numbers used to locate a point on a coordinate plane is called an ordered pair. An ordered pair is written in the form (x, y) where x is the x-coordinate and y is the y-coordinate. More About Ordered Pair. In three-dimensional cordinates, (x, y, z) gives the location of a point. It is called an ordered triple.
Ordered pairs are a fundamental part of graphing. Ordered pairs make up functions on a graph, and very often, you need to plot ordered pairs in order to see what the graph of a function looks like. This tutorial will introduce you to ordered pairs!
Definition: Relation. A relation from a set A to a set B is a subset of A × B. Hence, a relation R consists of ordered pairs (a, b), where a ∈ A and b ∈ B. If (a, b) ∈ R, we say that is related to , and we also write aRb. Remark. We can also replace R by a symbol, especially when one is readily available. This is exactly what we do in ...
Performing dilations. To dilate a point on a coordinate plane, you multiply its coordinates by a scale factor. The scale factor is a positive number that tells you how much to enlarge or shrink the point. If the scale factor is greater than 1, the point moves away from the origin. If the scale factor is less than 1, the point moves closer to ...
- 3 min
- Sal Khan
Mar 24, 2021 · Definition: Cartesian Product. The Cartesian product of A and B is the set. A × B = {(a, b) ∣ a ∈ A ∧ b ∈ B} Thus, A × B (read as “ A cross B ”) contains all the ordered pairs in which the first elements are selected from A, and the second elements are selected from B.
