Final answer:
The average velocity of the boat is calculated as the displacement divided by the time taken, which is 6.67 km/h due north.
Step-by-step explanation:
If a boat travels 20 km due north in a time span of 3 hours, we calculate the boat's average velocity by dividing the total displacement by the time taken. To find the average velocity, we use the formula:
Velocity = Displacement / Time
Substituting the given values:
Velocity = 20 km / 3 h = 6.67 km/h
Therefore, the boat's average velocity is 6.67 km/h due north, which corresponds to option a).