The position vectors of points A and B relative to an origin O are a and b respectively. The point P is such that OP = μOA. The point Q is such that OQ = λOB. The lines AQ and BP intersect at the point R. [Figure X.X]

Vectors a, b and c are such that a = (4, 3), b = (2, 2) and c = (-5, 2)

In this question \mathbf{i} is a unit vector due East and \mathbf{j} is a unit vector due North. At 12 00 hours, a sh...

In the diagram AB = 4a, BC = b and DC = 7a. The lines AC and DB intersect at the point X. Find, in terms of a and b,

The curve y = xy + x² – 4 intersects the line y = 3x – 1 at the points A and B. Find the equation of the perpendicula...

The polynomial f(x) = ax³ – 15x² + bx – 2 has a factor of 2x – 1 and a remainder of 5 when divided by x – 1.