is a parallelogram.
is the origin.
⃗⃗⃗⃗⃗ = p and ⃗⃗⃗⃗⃗ = r
is the mid-point of and is on such that : = 2: 1
The line is extended to the point .
a) Find, in terms of p and r, in their simplest forms:
i) ⃗⃗⃗⃗⃗⃗
ii) ⃗⃗⃗⃗⃗
iii) ⃗⃗⃗⃗
iv) the position vector of .
b) is a straight line and =
3
2
. Find ⃗⃗⃗⃗ , in terms of p and/or r, in its simplest form.