Chapter Three Notes - Chapter Three Vectors and...

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Chapter Three: Vectors and Two-Dimensional Motion I) Vectors A) Two vectors are equal if they have the same  magnitude  and the same  direction B) Components of vectors 1) A x  +  A y 2) A x  =  A  cos Θ 3) A A  sin Θ 4) ( A x 2  +  A y 2 ) 5) tan  =  Θ A y  /  A x C) Adding vectors: two or more vectors may be added if they all have the same  units 1) Geometrically a) Draw the first vest vector on a pair of axes using some scale and so its  direction is specified b) Draw the second vector using the same scale with the tail of this vector  starting at the tip of the first vector, it must be drawn along the direction  that makes the proper angel with the first vector c) Resultant vector is drawn from the tail of the first vector to the tip of the  second vector 2) Algebraically: using components a) R A B x b) R A B y c) R 2  = 
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