|Mar21-11, 03:28 PM||#1| 1. The problem statement, all variables
and given/known data "The point C lies between A and B and is 5
units from A. OA = 2i + 3j OB = -4i - 5j 2. Relevant equations
3. The attempt at a solution This is not exactly a homework
question since this is independent study, but I was wondering
why I couldn't get the same answer as my textbook unless my
textbook is wrong - but if it isn't, then that means I haven't
grasped this topic yet. First find the vector AB; AB = OB - OA
AB = -4i - 5j - 2i - 3j = -6i - 8j The magnitude of AB is
therefore 10, by Pythagoras' Theorem. Since C is 5 units from A
and lies between A and B; AC = (AB)/2 AC = 0.5(-6i - 8j) = -3i -
4j To find OC, we simply substitute values into the equation OA
+ AC = OC; OA + AC = OC 2i + 3j - 3i - 4j = -i - j = OC So OC
should be -i - j, but I don't see the error I have made... my
textbook says it should be 0.8i + 1.4j. This problem has been
bugging me because I thought I understood this, perhaps there is
something deeper I hav