Suppose the vector s has magnitude 73 and makes an angle of 114° with the positive x-axis (measured counterclockwise), when s is in standard position. Write s in the form s = a i +b j. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth.

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Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.