With respect to a fixed origin $$\(O\)$$, the lines $$\(l_{1}\)$$ and $$\(l_{2}\)$$ are given by the equations where $$\(\lambda\)$$ and $$\(\mu\)$$ are scalar parameters. (a) Show that $$\(l_{1}\)$$ and $$\(l_{2}\)$$ meet and find the position vector of their point of intersection $$\(A\)$$. (6) (b) Find the acute angle between $$\(l_{1}\)$$ and $$\(l_{2}\)$$, giving your answer in degrees to one decimal place. (3) A circle with centre $$\(A\)$$ and radius 35 cuts the line $$\(l_{1}\)$$ at the points $$\(P\)$$ and $$\(Q\)$$. Given that the $$\(x\)$$ coordinate of $$\(P\)$$ is greater than the $$\(x\)$$ coordinate of $$\(Q\)$$, (c) find the coordinates of $$\(P\)$$ and the coordinates of $$\(Q\)$$. (4)

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