Express BA in terms of the position vectors of C and origin O.

To express vector BA in terms of the position vectors of C and the origin O, we can use the definition of the position vector. Let's assume the position vector of C is represented by vector OC and the position vector of the origin O is represented by vector OA.

First, we need to find the position vector of B in terms of the position vectors of C and the origin O. We can do this by subtracting vector OC from vector OA, since the position vector of B is the difference between the position vector of C and the position vector of the origin.

So, the position vector of B (vector BA) can be expressed as:

BA = OA - OC

Therefore, to express vector BA in terms of the position vectors of C and the origin O, you simply subtract vector OC from vector OA.