Find the unit vector in the
direction of the 𝑦-axis.
We recall that a unit vector has a
magnitude equal to one. Let’s consider the
three-dimensional coordinate system or grid with center or origin 𝑂. We are told that the vector is
moving in the direction of the 𝑦-axis. This means that its 𝑥- and
𝑧-components must be equal to zero. In order for the vector to have a
magnitude of one, the 𝑦-component must also be one. The unit vector in the direction of
the 𝑦-axis is equal to zero, one, zero.