Choose an appropriate scale and use it to draw an arrow presenting the given vector.
Example Answer:
Practice makes perfect
We are asked to draw the vector w that represents 75 miles per hour 40^(∘) east of south. First, we will choose the scale. Many scales could work, but as an example we will use 1 cm:25 miles per hour. Using this scale, we can evaluate the length of our vector.
75/25=3
In our diagram w will have a length of 3 centimeters. Since we are given that our vector is 40^(∘) east of south, we will draw a segment that satisfies this condition. To do this we will put a protractor in the center point along the north-south line and find the appropriate angle on the east side.
Next we will use a ruler to find the point that lies on the red segment and is 3 centimeters from the center point.
Finally, we will connect the points with a ray. This ray will represent the vector w.
