A boat heads in the direction N 74° E. The speed of the boat relative to the water is 25 mi/h. The water is flowing directly south. It is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the vector points north.) (a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal place.) (b) Find the speed of the water and the true speed of the boat. (Round your answers to one decimal place.) water mi/h boat mi/h

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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.