i cannot find the value of 'lambda'
it seems that you cannot see my image, would you please click on the following link to get my question?
my question is here
a)
OC = OA + AC = a + 2b
BC = BO + OC = (-b) + (a + 2b) = a + b
OQ = OB + BQ = OB + (1/3)BC = b + (1/3)(a + b) = (1/3)a + (4/3)b
b)
i) OR = OP + PR = (1/2)OA + hPQ
Now, PQ = PO + OQ = -(1/2)OA + OQ = -(1/2)a + (1/3)a + (4/3)b = -(1/6)a + (4/3)b
So
OR = (1/2)OA + hPQ = (1/2)a + h[-(1/6)a + (4/3)b]
(I'll let you simplify that.)
ii)
OR = k OC
(1/2)a + h[-(1/6)a + (4/3)b] = k[a + 2b]
From here equate the coefficients of a on each side of the equation and the coefficients of b on each side of the equation. Two equations in two unknowns, h and k, so you can solve this.
I have to go. See if you can carry on from here.
-Dan