In mathematical terms, this vector may be depicted as V = -4i + 2j ; where i represents the real scale and j represents the complex scale, which is at 90 degree angle to the real scale. It can be seen that such nomenclature can help represent both the magnitude (represented as the length of the arrow) as well as the direction (the direction of the tip of the arrow); thereby accurately describing the vector
Physically, the magnitude of the vector is the length of the arrow i.e. sqrt(-4^2 + 2^2) = sqrt (16+4) = 4.47 as per Pythagorean theorem. The direction of the vector is given by cos(theta) = -4/4.47 i.e. theta = cos(inverse)(-4/4.47) = 153 degrees
Dec 16th, 2014
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