Dick said:The MIDPOINT between two vectors A and B is (A+B)/2. I think the 'between' in this problem means the vector that joins the two points A and B. That would be B-A. Your confusion about the word 'between' is understandable.
A vector is a mathematical quantity that has both magnitude and direction. It is commonly represented by an arrow, with the length of the arrow indicating the magnitude and the direction of the arrow representing the direction.
To add vectors, you must first make sure they are in the same direction. Then, you simply add the magnitudes of the two vectors together to get the resulting vector. If the vectors are in opposite directions, you subtract the smaller magnitude from the larger magnitude and use the direction of the larger vector.
Yes, vectors can have negative magnitudes. This means that the vector is pointing in the opposite direction of its positive counterpart. For example, a vector with a magnitude of -5 would be pointing in the opposite direction of a vector with a magnitude of 5.
A vector has both magnitude and direction, while a scalar only has magnitude. In other words, a scalar is just a number, while a vector is a quantity that also includes a direction.
Vectors are used in many different fields of science and engineering, including physics, engineering, and computer science. They are used to represent various physical quantities, such as force, velocity, and acceleration, and are essential for understanding and solving many scientific and engineering problems.