The ring in a force table is pulled by four vectors W, X, Y and Z. Wherein W is at 30° with 2N of magnitude, X equals 5N at 60° and Y exactly located to west with 3N of force. What must be the magnitude and direction of vector Z if the ring is exactly at the origin and the vector sum of W, X, Y and Z is zero?

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Write the (a) given, (b) unknown, (c) formula, (d) sketched illustration (show the triangle formed for sine/cosine law) and (e) complete solution with four decimal places. 

The ring in a force table is pulled by four vectors W, X, Y and Z. Wherein W is at 30° with 2N of magnitude, X equals 5N at 60° and Y exactly located to west with 3N of force. What must be the magnitude and direction of vector Z if the ring is exactly at the origin and the vector sum of W, X, Y and Z is zero? 

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