Final answer:
The statement that two planes traveling at the same speed in different directions have the same velocity is false because velocity is a vector quantity that includes direction, and the planes are flying in perpendicular directions.
Step-by-step explanation:
The statement that one plane traveling 600 km/hr north and another traveling at 600 km/hr east have the same velocity is false. Velocity is a vector quantity, meaning it has both magnitude and direction. While both planes have the same speed (magnitude of the velocity), their directions are different, making their velocities different.
In physics, it is crucial to differentiate between speed and velocity. Speed is a scalar quantity, which is only the magnitude part of the velocity, indicating how fast an object is moving. Velocity, on the other hand, is a vector quantity that includes both speed and direction. Therefore, two objects moving at the same speed but in different directions do not share the same velocity.
By considering the different directions the planes are traveling (north and east), we can conclude they have different velocity vectors due to the directional component. This concept is important when solving problems related to the motion of objects.