Find the number of Element of power set of set A have 2n number of element .

Explanation

Let P be a point which divide AB internally in the ratio 2:3, then, by section formula, poistion vector of P is given by
`OP=(2(3a-2b)+3(2a-3b))/(2+3)`
`=(6a-4b+6a-9b)/(5)=(12)/(5)a-(13)/(5)b`
Similarly, the position vector of the point `(P')` which divided AB externally in the ratio 2:3 is given by
`OP'=(2(3a-2b)-3(2a-3b))/(2-3)`
`=(6a-4b-6a+9b)/(-1)=(5b)/(-1)=-5b`