Answer:
c = (5b -3a)/2
Step-by-step explanation:
You want to find vector OC in terms of 'a' and 'b', given that B divides AC in the ratio 2 : 3.
Solution
The point B satisfies ...
B = (2C +3A)/5
Solving for C gives ...
5B -3A = 2C
C = (5B -3A)/2
In terms of the vectors a = OA, b = OB, this is ...
c = (5b -3a)/2
