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ET-314 Week 11 Nov 7, 2014 Topic(s): 19.1 Vectors.

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Presentation on theme: "ET-314 Week 11 Nov 7, 2014 Topic(s): 19.1 Vectors."— Presentation transcript:

1 ET-314 Week 11 Nov 7, 2014 Topic(s): 19.1 Vectors

2 Vectors

3

4 Practice Problems: x = 3 y = 6 r = __________  = __________ x = -2 y = 5 r = __________  = __________ r = 6  = 25  x = __________ y = __________ r = 5  = -65  x = __________ y = __________

5 Vector Additions In rectangular coordinates: V1 = (0.8, -0.7) V2 = (0.6, 1) V3 = V1 + V2 = ({ }, { }) = (1.4, 0.3)

6 Vector Additions In polar coordinates: V1 = (0.8  60  ) = (0.8 cos(60  ), 0.8 sin(60  )) = (0.4000, ) V2 = (0.7  -30  ) = (0.7 cos(-30  ), 0.7 sin(-30  )) = (0.6062, ) V3 = V1 + V2 = (1.0062, ) = ( ) 0.5  tan -1 ( / ) =  

7 V1 + V2 Vector Subtractions In rectangular coordinates: V1 = (0.8, -0.7) V2 = (0.6, 1) V3 = V1  V2 = V1 + (-V2) = (0.8, -0.7) + (-0.6, -1) = ({0.8  0.6}, {-0.7  1}) = (0.1, -1.6) V1  V2

8 Practice Problems x = 2 y = 3 r =  =  x = 2 y = -5 r =  =  r = 20  = -128  x = y = r = 3  = 165  x = y =

9  Practice Problems V1 = (0.8, 0.5), V2 = (0.7, -0.3), V3 = (0.6  50  ), V1 + V2 – V3 = ? More practice problems:


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