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    A and C are the points ( ) 1, 3, 2 − and ( ) 4, , 4 − 3 respectively.
    Point B divides AC in the ratio 1 : 2.
    Find the coordinates of B
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    (Original post by blain2001)
    A and C are the points ( ) 1, 3, 2 − and ( ) 4, , 4 − 3 respectively.
    Point B divides AC in the ratio 1 : 2.
    Find the coordinates of B
    You can write a relationship between the displacement vectors AB and AC given the information in the question.

    AB=1/3AC

    Rewrite in terms of the position vectors then find the position vector of B (OB).
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    (Original post by blain2001)
    A and C are the points ( ) 1, 3, 2 − and ( ) 4, , 4 − 3 respectively.
    Point B divides AC in the ratio 1 : 2.
    Find the coordinates of B
    Because it divides AC in a ratio 1:2,
    you know that Vector AB is 1/3 of Vector AC
 
 
 
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