Vectors - need help with a question

Hey guys, so I've been going through my homework and I cannot seem to understand a question - nor find the solution online, so i thought i could ask you.

AC = p
AB = q
X divides CB into 1:4 ratio
Prove that MX = k(8p - 3q) where M is the midpoint of AB.

Thanks a lot to anyone who attempts to help me!

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Reply 1

Bradley00

Hey man,

I will provide you with the steps to finding the answer, but I will also put my answer in a Spoiler box incase you get stuck.
1) Find CB
2) Find BX
3) Find MB
4) Express the route of MX in terms of the known Vectors
5) Substitute your known Vectors.

Spoiler

Reply 2

username3951880