Final answer:
The sign convention for vectors in one-dimensional motion involves using plus or minus signs to indicate direction, while in two-dimensional motion, unit vectors and compass points or angles are used for clarity. Consistency in sign convention is crucial throughout an analysis.
Step-by-step explanation:
The sign convention for working with vectors is essential for expressing their direction accurately. In one-dimensional motion, the use of a plus (+) or minus (-) sign is sufficient to convey the direction of a vector. For example, in graphical representation, vectors are depicted by arrows with the length corresponding to the magnitude of the vector and the direction indicated by the arrow's orientation.
When dealing with two-dimensional motion, vectors are represented using unit vectors like î (for the x-axis) and ˇ (for the y-axis). These unit vectors help in conveying the direction and components of vectors in a plane. Additionally, compass points or angles relative to these points can be used to describe the direction, such as '40° North of West'.
It is crucial that once a positive direction is designated within a coordinate system for solving a vector problem, consistency is maintained throughout the analysis. Adhering to these conventions allows for clear and unambiguous vector representation.