The dot product is more than just a formula, it tells us important information about the relationship between two vectors: Shows how much one vector points in the direction of another: It measures how much of one vector lies along the other. Indicates the angle between vectors: It can tell whether vectors point in the same direction, opposite directions, or are perpendicular. Used in physics for work: It helps calculate work done when a force moves an object. Measures similarity: In higher-di...