Final answer:
Use vector addition principles to point your bed northeast by drawing an arrow 9 units east and another arrow 5 units north from the end of the first arrow, mimicking a compass direction.
Step-by-step explanation:
To position your bed with the headboard east of north of the footboard, you can use basic principles of vector addition similar to those used in navigating with a compass. As we define directions, vector addition allows us to combine movements in different directions to reach a final position.
Step 1. Draw an arrow to represent the first vector (9 blocks to the east) using a ruler and protractor. This will be on the x-axis because we have defined the x-axis to represent the east-west direction.
Step 2. Now draw an arrow to represent the second vector (5 blocks to the north). You will set this on the y-axis, as we have defined the y-axis to represent the north-south direction. Place the tail of the second vector at the head of the first vector to achieve proper vector addition.
By following these steps, you would have directed the head of your bed to the northeast, following the vector directions similar to finding your way using a compass or a map.