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Math Help - coordinate geometry...

  1. #1
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    coordinate geometry...

    Given O(0,0),P(1,2),S(-3,0).
    P divides OQ in the ratio 2:3 and OPRS is a parallelogram. Find:
    i) Coordinate of Q
    ii) Coordinate of R
    iii) The ratio in which RQ is divided by y axis.
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  2. #2
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    Quote Originally Posted by snigdha View Post
    Given O(0,0),P(1,2),S(-3,0).
    P divides OQ in the ratio 2:3 and OPRS is a parallelogram. Find:
    i) Coordinate of Q
    ii) Coordinate of R
    iii) The ratio in which RQ is divided by y axis.
    Draw a rough sketch of the situation.

    to (i):

    \frac25 \cdot \overrightarrow{OP} = (1,2)

    Calculate the components of \overrightarrow{OP}

    to (ii):

    \overrightarrow{OP} \parallel \overrightarrow{SR}

    Thus

    \overrightarrow{OR} = \overrightarrow{OS} + \overrightarrow{OP}

    Calculate the components of \overrightarrow{OR}

    to (iii):

    This part is left for you.
    Attached Thumbnails Attached Thumbnails coordinate geometry...-rekonstr_parallelogramm.png  
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