The parametric equations of a line are given as x = 2 + 5\lambda, y = -3 + 4\lambda, z = 4 - 2\lambda. Determine the coordinates of the point where the line crosses the xy plane.
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Practise this questionx^2 + y^2 - 10x + 4y - 5 = 0. Determine the centre and radius of the circle.[4 marks](2, 3).[4 marks](0, 2, -2) and which is perpendicular to the vector…[3 marks]3\mathbf{i} - 2\mathbf{j} and the x-axis.[3 marks]P(x, y) moves in the xy plane such that it is the same distance from the point A(1, 2) as it is from the line x = 3. Determine the equation of…[6 marks]More practice: the rest of this paper · more Vectors questions · all CAPE Pure Mathematics Unit 1 past papers