The problem involves using vectors to find the points of trisection of a line segment defined by the endpoints (1,2) and (7,5). The subject area is vector geometry within the context of Calculus III.
Some participants are exploring the relationship between the standard vector and the points of trisection, with one suggesting that scalar multiples of the vector could represent these points. There is an ongoing dialogue about the correct identification of the vector and its implications for finding the trisection points.
There appears to be some confusion regarding the definition of the vector and the translation of points back to the original line segment. The original poster is navigating through these concepts without a clear resolution yet.
Not without saying what v is!perc_wiz11 said:once i create a standard vector, can say that the points of trisection are at the scalar multiples of v?
Is v the vector from (1, 2) to (7, 5)? If so, then what you are doing is correct and you have the right answer.then translate them back to the line segment at its original position? so if the standard vector is <6,3> and take 1/3 v the points of trisection on that vector are (2,1) and (4,2). once i translate that, would the answer be (3,3) and (5,4) ?