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Chapter 18 Linear Algebra a=2i+4j α = 36.86° b=2i+j Then the dot product of these two vectors is given by d = 2 • 2 = (2 × 2) + (4 × 1) = 8 4 1 The angle α between these two vectors is given by a•b 8 α = inv cos ------------ = inv cos ------ = 36.86 o , a b 10 where |a| denotes the magnitude of a. Force a Body α α d As a second application, consider a body on which a constant force a acts. The work W done by a in displacing the body is defined as the product of |d| and the component of a in the direction of displacement d. That is, W = a d cos α = a • d © National Instruments Corporation 18-11 LabVIEW User Manual
