Let each of the vectors A = 5ax - ay + 3az, B = -2ax + 2ay + 4az, and C = 3ay + 4az %3D extend outward from the origin of a cartesian coordinate system to points A, B, and C, respectively. Find a unit vector directed from point A toward: a) the origin; b) point B; c) a point equidistant from B and C on the line BC. d) Find the length of the perimeter of the triangle ABC.

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Rectangular Coordinate System

In a rectangular coordinate system, each point based on the pair of coordinates is specified uniquely in the plane. From two fixed perpendicular lines, these coordinates are at a distance in the rectangular coordinate system. Each line is known as the reference axis and axes as plural. The point where they meet is called the origin (0,0).