Vector (Part I)

Vectors are quantities which possess both "magnitude" (a quantity that can be represented by real numbers, called scalars) and "direction". They can be represented by arrows (having appropriate lengths and directions that emanating from some given reference point O).

Operations on vectors:

1. Addition: if (a,b) and (c,d) are the endpoints of the vectors u and v, then the endpoint of u+v is (a+c, b+d).


2. Scalar Multiplication: if (a,b) is the endpoint of the vector u, then the endpoint of ku is (ka, kb).

Next: Vectors in Rⁿ