Vector Addition and Subtraction in Three Dimensions

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To find the position vector D that completes the parallelogram ABCD, the discussion emphasizes the use of vector addition and subtraction rather than norms or unit vectors. The correct approach involves calculating vector BA as the difference between vectors OD and OC. Participants note that the initial method attempted was incorrect, highlighting the importance of clarity in vector operations. A visual representation of the vectors may aid in understanding the relationships between the points. Ultimately, the focus is on correctly applying vector principles to solve for point D.
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Homework Statement



Point A (2i +j 2k)
Point B (3i +2j +5k)
Point C (4i +5j -2k)

the point d is such that abcd in that order is a parallelogram.

Find position Vector D


Homework Equations





The Attempt at a Solution



ok so i start of like this but I am getting the wrong answer.
http://img511.imageshack.us/img511/5946/vectorak5.jpg

(BA)^1/2=(CD)^1/2

but its wrong.
 
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It might be useful to make a drawing.
 
Yes, but are those equations correct
I've realized my error.
culd you tell me the point of the unit vector.
 
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You don't need to do anything involving norms or unit vectors here, so the square root stuff is way off base. It's really just a matter of vector addition, and subtraction.

\vec{BA}=\vec{OD} - \vec {OC}
makes sense to me, the other equations don't really.
 

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