Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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Which of the following represents the vector in the direction of the y-axis?

k with an arrow over it
j with an arrow over it
i with an arrow over it
m with an arrow over it

The correct answer is: j with an arrow over it

The representation of a vector in the direction of the y-axis is denoted by "j" with an arrow over it. In the context of vector notation, "i," "j," and "k" are commonly used to represent unit vectors along the x-axis, y-axis, and z-axis respectively in three-dimensional space. Here, "j" specifically indicates a unit vector that has a magnitude of 1 and points directly upward along the y-axis. This convention helps in easily identifying the direction of vectors when working in a coordinate system, making "j" the correct representation for the y-axis direction. Understanding this notation is essential for solving problems that involve vector components in physics and mathematics, particularly when dealing with forces, velocities, and other vector quantities.