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# rev3sol - PHY2053Discussion Review:Chapter3 1.Vectors 1)...

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PHY 2053 Discussion  Review: Chapter 3  1. Vectors 1) Two properties and two operations of vectors:     Properties:   Magnitude & direction    Operation: Addition & scalar multiplication 2) How do you express a vector graphically, its magnitude and direction?     We use an arrow with its length proportional to the magnitude; The orientation of the   arrow represents the direction of the vector. 3) How do you express a vector  A  algebraically, its magnitude and direction?     We use components A (=Acos ) and A θ y.  (=Asin ).  θ    Magnitude: A =  (A x ² +A y ² ), Direction:   = tan θ ¹ (A y /A x ) 4) Graphical method to express A ± B: A+B: Place the tail of B at the head of A; A+B is the arrow drawn from the tail of A   to the head of B A-B: Place both tails together; A-B is the arrow drawn from the head of B to the head   of A.

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