Hi, it says that all vectors summed by a vector and the span of another lie on the yellow line. Why do we not consider the space occupied by the vector's length (generating an area as all possibilities for the space crossed by this vector), but we only consider the possible locations of its tip?

Notice that these vectors all lie on the yellow line; in fact, you should see that " + any scalar multiple of w will lie on this line. That is. { U-+ tul : t is any real number } is just the yellow line, which we can describe in words as "the line parallel to t passing through