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Math Help - Proving Vectors

  1. #1
    Senior Member sakonpure6's Avatar
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    Proving Vectors

    First of all, I am not sure if vectors are pre-calculus topics! If they are can any moderator please move this topic, I'm sorry for the inconvenience.

    Any way,
    In triangle ABC, a median is drawn from vertex A to the midpoint of BC, which is labelled D. If vector AB = vector b and vector AC = vector c, prove that vector AD = 1/2 vector b + 1/2 vector c.
    By vector I mean the arrow above the variable. I really do not have a clue how to solve this, I tried many things but all failed, so I checked the given solution by the text book and found it a bit unusual to my taste ( if that makes sense). How would you solve this question?

    Spoiler:
    Proving Vectors-untitled.png
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  2. #2
    MHF Contributor
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    Re: Proving Vectors

    Quote Originally Posted by sakonpure6 View Post
    First of all, I am not sure if vectors are pre-calculus topics! If they are can any moderator please move this topic, I'm sorry for the inconvenience.

    Any way,

    By vector I mean the arrow above the variable. I really do not have a clue how to solve this, I tried many things but all failed, so I checked the given solution by the text book and found it a bit unusual to my taste ( if that makes sense). How would you solve this question?

    Spoiler:
    Click image for larger version. 

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    answer looks pretty straightforward to me.

    Proving Vectors-clipboard01.jpg

    When adding two vectors you put the tail of the 2nd on the tip of the first and then the tip of the 2nd is now the sum. This is exactly what they've done.
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