MATH 101 Lecture Notes - Lecture 5: Unit Vector, Global Positioning System, Linear Combination
5 Sep 2016
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Math 212 section 11. 1 vectors in the plane. Many quantities in geometry and physics, such as area, volume, temperature, mass, and time, can be characterized by a single real number scaled to appropriate units of measure. These are called scalar quantities, and the real number associated with each is called a scalar. Other quantities, such as force, velocity, and acceleration, involve both magnitude and direction and cannot be characterized completely by a single real number. A directed line segment is used to represent such a quantity, The directed line segment has initial point p and terminal point q, and its length (or magnitude) is denoted by (cid:1842)(cid:1843) . Directed line segments that have the same length and direction are equivalent. Equivalent directed line segments such as u, v, and w. when written by hand, however, vectors must be denoted by letters with arrows above.
