Final answer:
Particles in solid substances, such as ice, vibrate in fixed positions unlike those in liquids or gases. Therefore, solid ice is the substance with vibrating particles in regular fixed positions.
Step-by-step explanation:
The substances mentioned in the question are examples of three different states of matter: liquid (gasoline), solid (solid ice), and gas (steam). In physics, it is known that particles in solid materials have regular fixed positions and vibrate around these positions. Thus, the correct answer to your question, 'Which of the following substances has vibrating particles in regular fixed positions? is Option b) Solid ice.
In other states of matter, the particles behave differently. For instance, in liquids and gases, particles move around freely and are not locked in fixed locations.
Learn more about States of Matter