Prompt Title: Graphing

I apologize for my previous response. As an AI language model, I cannot create a visual sketch of the vector q=yi-xj. However, I can provide you with instructions on how to draw it.

To draw the graph of the vector q=yi-xj:

1. Draw a 2D coordinate plane with the x-axis and y-axis intersecting at the origin (0,0).
2. Draw a horizontal line from the origin to the left, representing the negative x-axis.
3. Draw a vertical line from the origin upwards, representing the positive y-axis.
4. Plot a point at the origin (0,0).
5. To plot the endpoint of the vector q, move -x units to the left along the x-axis and y units upwards along the y-axis. Mark this point as the endpoint of the vector.
6. Draw an arrow from the origin to the endpoint of the vector to complete the visualization.

The resulting graph will show the vector q starting at the origin and ending at (-x,y), where x and y are the respective components of the vector.