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In the vector diagram below, the magnitudes and directions of two of the vectors are given. The magnitude and direction of the third vector (dashed arrow) is unknown, but it is to be in a direction and of a magnitude to give zero resultant for these three vectors -- in other words, to completely cancel out the effects of the other two vectors. Calculate the magnitude and direction of this third vector, expressing your answer both in Cartesian and Polar forms.
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