Find vector whose tail & head are midpoints of

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Homework Help Overview

The problem involves finding the components of a vector defined by the midpoints of two segments, AC and BC, given specific points A, B, and C in three-dimensional space.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are discussing the interpretation of the problem statement, particularly the definitions of "tail" and "head" in relation to the midpoints of the segments.

Discussion Status

There is an ongoing exploration of the wording of the problem, with some participants suggesting clearer phrasing to enhance understanding. Multiple interpretations of the vector's definition are being considered.

Contextual Notes

Participants note that the original wording of the problem may lead to confusion regarding the identification of the midpoints and their roles in defining the vector.

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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.
 

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