A unit cube (whose length, width, and height are 1 unit each) with a vertex at the origin lies in the first quadrant as shown in the figure. Express the vectors 0Q (diagonal of the cube) and OR (joining O to the center of a face in terms of î, j, and R. R

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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.