From Paper 2: Pure and Mechanics
89 marks
Points A and B have position vectors a = 2i + j - 3k and b = 5i - j + 3k relative to the origin O.
(a) Find |AB⃗|.
(b) Find the position vector of the midpoint of AB.
(c) Show that angle AOB is a right angle.
(d) Find the exact area of triangle OAB.