Suppose you start at the origin, move along the x-axis a distance of 4 units in the positive direction, and then move downward along the z-axis a distance of 2 units. What are the coordinates of your position

Step-by-step explanation:

Let the current position be A:

Required

Determine the new position

First, you move 4 units to the right.

This is represented as

Where a is the number of units to the right

In this case:

So, we have:

Then you move 2 units downwards

This is represented as

Where b is the number of units downwards.

In this case:

So, we have:

So, the new position (B) is: