Question

Suppose you start at the origin, move along the x-axis a distance of 7 units in the positive direction, and then move downward parallel to the z-axis a distance of 2 units. What are the coordinates of your position?

Answer 1

Answer:

The coordinates of your position are $x=7$, $y=0$ and $z=-2$ or in coordinates notation the point given by $(7, 0, -2)$

Step-by-step explanation:

Since you are starting from the origin of a coordinate system, the coordinates of you position are simply going to be how many units you have moved in each direction.

1. 7 units in the positive x-axis direction gives you $x=7$
2. Then, being in the x-axis, you move 2 units downward parallel to the z-axis. Here the downward gives you a negative sign for the z coordinate, hence, $z=-2$.
3. Now, $y=0$ is given due to the fact that there is no movement in the y-axis direction or you can also say that all the movement have been perpendicular to the y-axis and therefore, your position in this axis is zero.