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Math · Advanced Math
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A cable is to be installed under a road and its route can be represented on 3D Cartesian axes as below with thex-axis pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a lengths are in metres C (a, b, 0) A (0, 40, 0) x (E) B (40, 0, -20) a. Calculate the distance AB. The section BC is to be drilled in the direction of the vector 3i+4j + k. b. Find the angle betweenthe sections AB and BC. The section of pipe reaches ground level at the point C(a,b, 0) c. Write down a vector equation of the line BC. Hence find a and b.

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