- #1
Richie Smash
- 293
- 15
Homework Statement
u and v are two vectors in the same plane.
Vector OM = u+2v
Vector OP = 6u+v
Vector OQ = 5u +2v
Vector OR =2(VecOM) +v
Given that ZPQM is a parallelogram, express Vector OZ in terms of u and v.
Homework Equations
The Attempt at a Solution
First they wanted me to find Vectors QP and PR in terms of u and v
I've done that so QP=(vector)OP -(vector)OQ= u-v
and vector PR = Vector OR- Vector OP = 4v-4u
SO now I'm completely stuck as to show OZ, I drew out a rough sketch guessing where the points may be in relation to the origin, and it sort of looks like OM is a continuation of OZ... but I am just guessing here I really need help with this difficult question.
I know OM is u+2v, so according to my rough sketch, it must be a multiple of OZ... if they lie on the same line.
I have also worked out vector QM to be Vector OM -Vector OQ= -4u