- #1

Richie Smash

- 293

- 15

## Homework Statement

Hi I have attached an image which shows OK and OM which are position vectors such that OK=k and OM =m

R is the mid point of OK and S is a point on OM such that (vec) OS = 1/3 OM

L is the midpoint of RM, using a vector method, prove RS is parallel to KL.

## Homework Equations

## The Attempt at a Solution

SO the questions asked me to find these vectors

MK=k-m

RM= m-k/2

KS= m/3-K

RS= m/3-k/2

So now tht I've found these vectors,

I would think that I need to prove that KL and RS are multiples of one another to show they are parallel.

First I found the coordinates of L which is the midpoint of RM

L= (m-k/2)/2= m/2-k/4

So now that I know L... I find KL which would be : -k+(m/2-k)=m/2-2k

SO I know KL, and I know RS which is : m/3-k/2

But they don't seem to be multiples of each other... can anyone help me?

#### Attachments

Last edited: