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  1. Triangle Law of Vector Addition is used to add two vectors when the first vector's head is joined to the tail of the second vector and then joining the tail of the first vector to the head of the second vector to form a triangle, and hence obtain the resultant sum vector.

  2. Three numbers are needed to represent the magnitude and direction of a vector quantity in a three dimensional space. These quantities are called vector quantities. Vector quantities also satisfy two distinct operations, vector addition and multiplication of a vector by a scalar.

  3. A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.

  4. A vector is a quantity which has both a magnitude and also a speci c direction in space. The magnitude (also known as the modulus or length) of a vector is positive (or zero). An example of a physical quantity which is a vector is the force needed to hold this pen stationary in the air.

  5. Definition of vectors. In physics, some quantities (e.g. distances, volumes, temperatures, or masses) are completely charac-terized by their magnitudes, expressed with respect to a chosen unit by real numbers. These quantities are called scalars. Some others.

  6. Use the Triangle Law of Vector Addition to draw the sum (resultant) of the following pair of vectors. Example For the given diagram, determine a vector equal to each sum. a) AD DH = b) AB BF FG = c) AE HC = d) AD AE AB = The Zero Vector Example The zero vector, 0 , has zero magnitude (length) and is the only vector that does not have a

  7. In this chapter, you’ll learn how to represent vectors. WHAT YOU’LL LEARN. • You will represent vector quantities graphically and algebraically. • You will determine the sum of vectors both graphically and algebraically. WHY IT’S IMPORTANT.

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