Let r be a postition vector of a viariable point in cartesian plane OXY such that

r.(10j - 8i - r/|r| ) = 40 and p1 = max{(|r + 2i - 3j|)^2} , p2 = min{(|r + 2i - 3j|)^2}

. A tanget line is drawn to the curve y = 8/(x^2) at the point A with abcissa 2. The drawn line cuts x-axis at a point B.

Now answer the following questions based on above paragraph

Q1 p2 is equal to ?

Q2 p1+p2 = ?

Q3 vector AB . vector OB = ?

please explain exactly what is vector r ??