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Unformatted text preview: Vector Mathematics Adding, Subtracting, Multiplying and Dividing Why? One can add 23 kg and 42 kg and get 65 kg. However, one cannot add together 23 m/s south and 42 m/s southeast and get 65 m/ s southsoutheast. Vectors addition takes into account adding both magnitude and direction Words Vector : A measured quantity with both magnitude (the how big part) and direction Scalar : A measured quantity with magnitude only Resultant Vector : The final vector of a vector math problem Math Coordinate System (Direction) 0 90 180 270 Polar Coordinate System (Direction and Magnitude) Polar Math (Cartesian) 2 2 1 cos sin tan r x y x r y r y x  = + = = = x y r Vector addition Two Ways: 1. Graphically: Draw vectors to scale, Tip to Tail, and the resultant is the straight line from start to finish 2. Mathematically: Employ vector math analysis to solve for the resultant vector Graphically 2D Right A = 5.0 m @ 0 B = 5.0 m @ 90 Solve A + B R Start R=7.1 m @ 45 Important You can add vectors in any order and yield the same resultant. Lets add the last one...
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 Spring '11
 staff
 Physics

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