Engineering Science 1022A/B/Y Lecture Notes - Cartesian Coordinate System, Parallelogram Law, Unit Vector

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In this course forces (acting along the vector axis), moments (rotation about the vector axis), and position vectors (moving along the vector axis) are all vector quantities. A vector quantity can be represented graphically by an arrow that shows its magnitude, direction and sense. Magnitude: characterized by size in some units, e. g. 34 n; represented by length of the arrow according to some scale, say, 1 cm = 10 n 3. 4 cm = 34 n. Direction: the angle between a reference axis and the arrow"s line of action. Sense: indicated by the arrowhead (one of two possible directions) In the lecture notes and text book a vector quantity is indicated by a letter in boldface type (f), while the magnitude of a vector is denoted by an italicized letter (f). For handwritten work a vector is usually indicated by drawing an arrow above the letter representing the vector, thus.

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