A vector field S is expressed in rectangular coordinates as: 76 S = - (x − 1)² + (y − 2)² + (z + 1)² [(x − 1)i + (y − 2)j + (z + 1)k] 1. Evaluate S at P (3,-1, 4) 2. Determine a unit vector that gives the direction of S at P 3. Specify the surface f (x, y, z) on which |S| = 1

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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).