Answer:
Explanation:
The first one is false. A vector has a magnitude and a direction; a scalar only has a magnitude. The two cannot be added together.
The second one is false. The magnitude of a vector is found using Pythagorean theorem: c² = a² + b². The only way the magnitude of a vector (c) can be 0 is if both components are 0 (a=0 and b=0).
The third one is true. A vector in Quadrant III will have negative components but can still have a positive magnitude. For example, a vector with magnitude 1 and direction 225° has a positive magnitude and negative components.
The fourth one is false. Rotating a vector will change it.
The fifth one is false. A vector sum can only be 0 if the two vectors have equal magnitudes and opposite directions.
