(a) The position vectors of points A, B and C are
i +
j, 3
i + 9
j and –
i +
j respectively.
(i) Show that points A, B and C are collinear
(ii) Determine the ratio /AB/ : /BC/.
(b) A uniform beam XY of mass 10kg and length 24 m is hung horizontally from a cross bar by two vertical inextensible strings, one attached to X and the other at a point M, 4m away from Y. A mass of 50kg is suspended at a point N which is 8m from X. If the system remains in equilibrium, calculate the tension in the strings.
[Take g = ms-2]