A boat starts from point P whose coordinates with respect to an origin O are (−4m,3m). After 12s it reaches point Q whose coordinates with respect to the same origin are (9m,−5m).
(i) Determine the vector that represents the boat’s change in position from P to Q, expressing your answer in unit-vector notation.
(ii) Calculate the magnitude of this change in position.
(iii) Find the angle that the change-in-position vector makes with the positive x-axis, giving the answer correct to the nearest degree.