Video Transcript
Find the unit vector in the direction of the π§- or π§-axis.
We can begin by drawing the three-dimensional coordinate plane where the π₯-, π¦-, and π§-axes are perpendicular to one another. The unit vector in the direction of the π₯-axis is π’. In the direction of the π¦-axis, the unit vector is π£. And finally, in the direction of the π§- or π§-axis, the unit vector is π€.
In this question, weβre interested in the π§-axis. Therefore, our vector will be equal to zero π’ plus zero π£ plus one π€. This can be rewritten as one π€ or just π€. Written in component form, the unit vector in the direction of the π§-axis is zero, zero, one. The π₯- and π¦-components are equal to zero, and the π§- or π§-component equals one.
