The position vector of a point P in the rectangular co-ordinate system is 5 cm long and is inclined at 30 degree to the positive X-axis. Identify the Cartesian co-ordinates of the point.
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The origin of the displacement vector is located at point b (6.0, 1.6) and the end of the displacement vector is located at point e (2.0, 4.5). Substitute the coordinates of these points into (Figure) to find the scalar components Dx . Finally, substitute the coordinates into (Figure) to write the displacement vector in the vector component form.
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Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.
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