Relative to a fixed origin $$\(O\)$$, the lines $$\(l_{1}\)$$ and $$\(l_{2}\)$$ are given by the equations Given that $$\(l_{1}\)$$ and $$\(l_{2}\)$$ meet at the point $$\(X\)$$, (a) find the position vector of $$\(X\)$$. (5) The point $$\(P(10,-7,0)\)$$ lies on $$\(l_{1}\)$$ The point $$\(Q\)$$ lies on $$\(l_{2}\)$$ Given that $$\(\overrightarrow{P Q}\)$$ is perpendicular to $$\(l_{2}\)$$ (b) calculate the coordinates of $$\(Q\)$$. (5)

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