# Math Help - coordinate geometry...

1. ## 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.

2. Originally Posted by snigdha
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.