A certain point on a Cartesianism plane can be represented by the ordered pair (2,-3), representing the point’s positions along the x-axis and y-axis. Is the point’s position on the plane a scalar or a vector? Why?
The point's position on the plane is represented by an ordered pair (2, -3), which indicates both the x and y coordinates. In this case, the point's position is represented by a vector.
A vector is a mathematical entity that has both magnitude and direction. In the case of a point on a Cartesian plane, the ordered pair represents both the magnitude (the x and y coordinates) and the direction (the position along the x and y axes). Therefore, it fits the definition of a vector.
Moreover, vectors can be added or subtracted, and they follow specific rules and mathematical operations. In this case, we can perform vector operations on the point's position on the plane, like adding or subtracting it with other vectors. Thus, the point's position on the plane is considered a vector.