Can someone please talk me through this question?

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    I've been given this question as homework, but have never had a lesson on it and don't know what it means. Would anyone be willing to "walk me through" it? Name:  b.jpg
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    (Original post by Imma Simma)
    I've been given this question as homework, but have never had a lesson on it and don't know what it means. Would anyone be willing to "walk me through" it?
    Don't do it if you've never had a lesson on it then.
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    You need to look at videos on vectors or something , you can't be told how to do it properly here.
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    For simplicity's sake let's just say every capital letter I use is a vector (e.g. AB = AB vector);



    24a) First thing you need to know about vectors is that OA+AB= OB (random example). If you have a common middle point (A), then adding the two together will get you the value of one point to another (O to B)
    OA refers to how far A is from point O = OP+PA = OA = a + a = 2a
    Thus, OA = 2a.
    If you're trying to find AB, you're not given any data on the right side of the triangle, so you'll have to use AO + OB.
    Second thing you need to know about vectors is that when you flip OA to AO, all you need to do is add a negative sign to the value.
    So OA = 2a. AO = -2a.
    OB is given as 2b, hence,
    AB = AO + OB = -2a + 2b = 2b - 2a

    b) PQ = PA + AQ
    PA is a (given)
    AQ is given as 1/4 AB = 1/4(2b-2a)
    PQ = a+ 1/4(2b-2a) = a + 1/b - 1/a = 1/2 a + 1/2 b
    I don't really understand how much more you can explain it other than PQ = PA + AQ, sorry, so maybe someone else can help you with that.

    c) Note that M is the middle point (given in question), hence AM = 1/2AB = (2b - 2a)/2 = b - a
    OM = OA + AM = 2a + b - a = a + b

    d) I'm not really sure about this, but from what I recall, the reason why b and c show that the shape is a trapezium is because PQ (given in (b)) and OM (given in (c)) are factors of each other (one is 1/2 of the other) which shows they are parallel, and that is a characteristic of a trapezium.

    Hope this helps clarify some things. I'm not the best at math, so I can't go into full detail with explanations and someone will probably do it better, but I tried my best. Hope you get more replies. Best wishes.
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    (Original post by hipsterrapunzel)
    For simplicity's sake let's just say every capital letter I use is a vector (e.g. AB = AB vector);



    24a) First thing you need to know about vectors is that OA+AB= OB (random example). If you have a common middle point (A), then adding the two together will get you the value of one point to another (O to B)
    OA refers to how far A is from point O = OP+PA = OA = a + a = 2a
    Thus, OA = 2a.
    If you're trying to find AB, you're not given any data on the right side of the triangle, so you'll have to use AO + OB.
    Second thing you need to know about vectors is that when you flip OA to AO, all you need to do is add a negative sign to the value.
    So OA = 2a. AO = -2a.
    OB is given as 2b, hence,
    AB = AO + OB = -2a + 2b = 2b - 2a

    b) PQ = PA + AQ
    PA is a (given)
    AQ is given as 1/4 AB = 1/4(2b-2a)
    PQ = a+ 1/4(2b-2a) = a + 1/b - 1/a = 1/2 a + 1/2 b
    I don't really understand how much more you can explain it other than PQ = PA + AQ, sorry, so maybe someone else can help you with that.

    c) Note that M is the middle point (given in question), hence AM = 1/2AB = (2b - 2a)/2 = b - a
    OM = OA + AM = 2a + b - a = a + b

    d) I'm not really sure about this, but from what I recall, the reason why b and c show that the shape is a trapezium is because PQ (given in (b)) and OM (given in (c)) are factors of each other (one is 1/2 of the other) which shows they are parallel, and that is a characteristic of a trapezium.

    Hope this helps clarify some things. I'm not the best at math, so I can't go into full detail with explanations and someone will probably do it better, but I tried my best. Hope you get more replies. Best wishes.
    Thanks so much - I think we'll be getting a lesson on vectors soon, so I'm sure that will clear things up, but this is really great for a starting point
 
 
 
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