Chap12_Sec2

# Chap12_Sec2 - VECTORS AND THE GEOMETRY OF SPACE 12.2...

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12.2 ectors VECTORS AND THE GEOMETRY OF SPACE Vectors In this section, we will learn about: Vectors and their applications.

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The term vector is used by scientists to indicate a quantity (such as displacement or velocity or force) that has both magnitude and direction. A vector is often represented by an arrow or a directed line segment. s The length of the arrow represents the magnitude of the vector. s The arrow points in the direction of the vector. We denote a vector by either: rinting a letter in boldface ( VECTOR The zero vector, denoted by 0 , has length 0. It is the only vector with s Printing a letter in boldface ( v ) s Putting an arrow above the letter ( ) v r v = AB uuur u = v no specific direction.
is called the sum of and . We write: If u and v are vectors positioned so the initial point of v is at the terminal point of u , then the sum u + v is the vector from the initial point of u to the terminal point of v . COMBINING VECTORS, ADDING VECTORS

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Chap12_Sec2 - VECTORS AND THE GEOMETRY OF SPACE 12.2...

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