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1 a) a vector represents the length and direction of a line segment. both pdf of these properties must be given in pdf order to specify a vector completely. a vector is a mathematical object that has magnitude and direction, and satisfies the laws of vector addition. a unit vector u is a vector of length 1. 8 products of three or more vectors 39 1. practically speaking, a vector is simply a way of simultaneously storing and handling two pieces of information: a direction in space, and a magnitude or length. analytically, it is easy to see that → u + → v = → v + → u. 22: illustrating how to add vectors using the head to tail rule and parallelogram law. the length is denoted v. the term vector comes from the latin word vectus, meaning “ to carry.
the important characteristic of a vector quan- tity is that it has both a magnitude ( or size) and a direction. that is, one might envision. 22 also gives a graphical representation of this, using gray vectors. an example of a vector quantity is a displacement. 2 physical applications of the scalar triple product 43 1. 9 homomorphism and isomorphism 45 cambridge u nive rsity pressan introduction to vectors, vector operators and vector analysis pramod s. 3 the vector triple product 45 1. introduction vector quantities are extremely useful in physics.
b) given two points p q, the vector from p to q is denoted pq. 1 - introduction to vectors definition a vector v in the plane is an ordered pair of real pdf vectors numbers. vectors are used to represent physical quantities that have a magnitude and direction associated with them. the direction of a vctor v is the unit vector u parallel to v: u v v. ” this leads nicely to the geometric representation of a vector in as a directed line segment from the origin pdf to the point. note that the vectors → u and → v, when arranged as in the figure, form a parallelogram. we denote v by or.
1 the scalar triple product 39 1. an arrow is a pdf vectors convenient way to draw a vector; since both length and direction are clearly indicated. for example, the velocity of an object is a vector.
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