A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below, with the x-axis pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a straight section AB directly under the road, and another straight section BC connected to the first. All lengths are in metres. fla, b, 0) A (0, -40, 0) x (E) (40, 0, -20) a. Evaluate the distance AB. The section BC is to be drilled in the direction of the vector 3i + 4j + k. b. Find the angle between the 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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A: NOTE: Refresh your page if you can't see any equations. . given points are

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.