MATH104 Chapter Notes -Parallelogram Law

• School: University of Waterloo
• Department: Mathematics
• Course: MATH104
• Professor: Steve Spencer

Document Summary

So far, we have always had our vectors start at the origin, and end at the point corresponding to our vector. But if we are thinking of vectors as a direction instead of as a point, then it shouldn"t really matter where we start or end. And so, we will expand our study of vectors to now consider the following: De nition the directed line segment from a point p in r2 to a point q in. R2 is drawn as an arrow with starting point p and tip q. Example: let p = (4, 4), q = ( 3, 6), r = ( 6, 2), and o = (0, 0). Then the following gure illustrates the directed line segments (cid:126)op , (cid:126)p q, and (cid:126)qr. Now, the directed line segment (cid:126)op is the same as our visualization of the (cid:21) (cid:20) 4. 4 vector (cid:126)p = (sidenote: for some reason, points get capital letters, while vectors get lowercase letters.