notes001 (89)

notes001 (89) - Vectors Outline of Hass, Weir, Thomas...

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ectors Vectors Outline of Hass, Weir, Thomas – Section 9.2
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efinition Definition ector irected e egment he irected A vector is a directed line segment. The directed line segment AB has initial point A and teminal oint s ngth enoted y B wo ctors point B . Its length is denoted by AB . Two vectors are equal if they have the same length and direction.
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efinition Definition If v is a two–dimensional vector equal to the vector ith itial oint t e rigin nd rminal oint with initial point at the origin and terminal point v 1 , v 2 , then the component form of v is v v 1 , v 2 . If v is a three–dimensional vector equal to the vector with initial point at the origin and terminal point v 1 , v 2 , v 3 , then the component form of v is v v 1 , v 2 , v 3 .
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efinition Definition If P x 1 , y 1 , z 1 and Q x 2 , y 2 , z 2 are points in R 3 ,thenwe define the magnitude or length of the vector v PQ to be the distance between the points P and Q . The length f enoted y hus of v is denoted by | v | . Thus | v | PQ x 2 x 1 2 y
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notes001 (89) - Vectors Outline of Hass, Weir, Thomas...

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