Five boys and four girls are waiting for the MRT to arrive at Guadalupe Station. In how many wa can they be seated inside the train if: a.) they can sit anywhere? b.) boys can sit together as with the girls? c.) the boys and girls will sit alternately? d.) if no two girls will sit next to each other? e.) Mara and Clara are with the group and want to sit together all the time?

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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.