|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 haven't noticed/considered?
|Mar21-11, 03:58 PM||#2|
Your method looks correct to me.
Perhaps the question should say 2 units instead of 5 ?
|Mar21-11, 04:09 PM||#3|
Thank you for the quick reply!
I did the problem again assuming it was 2 units from A, not 5, and I did indeed get the textbook's answer. But the problem does say 5 units. I suppose it is just a typo.
Thanks! Now just one more topic and I've finished this chapter.
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