Find vector whose tail & head are midpoints of

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The discussion revolves around finding the components of a vector whose tail and head are defined as the midpoints of segments AC and BC, respectively. Participants express confusion over the original wording of the problem, suggesting that clearer phrasing would enhance understanding. The midpoints of segments AC and BC are identified as the tail and head of the vector, respectively. Suggestions for rephrasing the question include specifying the relationship between the midpoints and the vector more explicitly. Clarity in mathematical problems is crucial for accurate interpretation and solution.
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Homework Statement


Find the components of the vector v whose tail and head are the midpoints of segments AC and BC.

A = (1,0,1). B = (1,1,0), & C = (0,1,1)


The Attempt at a Solution



I don't know what the question is asking about exactly? I find the wording very awkward.
 
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What is it you don't understand? Midpoints? Heads and tails?
 
I take it to mean that the midpoint of AC is the tail of the vector, and the midpoint of BC is the head of the vector.
 
Voko, see post below.

vela said:
I take it to mean that the midpoint of AC is the tail of the vector, and the midpoint of BC is the head of the vector.

Ohh.. that could be it. It would have helped if the author was a bit more careful with his wording. For example by saying:

Find the components of the vector v whose tail and head are the midpoints of segments AC and BC respectively.

or preferably

Find the components of the vector v whose tail is the midpoint of segment AC and head is the midpoint of BC.
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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