Question

AB is parallel to DC.

AB = :5p
DC = p
DA = 2q - p
a) Find CB in terms of q and p.
Simplify your answer.
Note: Ignore arrows above vectors eg write PQ, not PQ
2q+3p
A
B
>
b) P is the midpoint of AD.
AQ: QB = 2:3
Show that PQ is parallel to CB.
P р
D
С

Answer 1

They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other

Explanation:

PQ=PA+QA

PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p

CB=2q+3p=2(q+3/2p)