Transcription of Vector Algebra and Calculus
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Vector Algebra and Calculus
Vector Algebra and of Vector Algebra , scalar product, Vector products, multiple products, applications to of Vector functions, applications to and Vector fields. Line, surface and volume integrals, curvilinear operators grad, div and Identities, curvilinear co-ordinate and Stokes Theorems and Applications2. More Algebra & Geometry using VectorsIn which we discuss .. Vector products:Scalar Triple Product, Vector Triple Product, Vector Quadruple Product Geometry of Lines and Planes Solving Vector equations Angular velocity and momentsTriple and multiple Using mixtures of scalar products and Vector products, it is possible to derive triple products between three vectors n-products betweennvectors. Nothing new about these but some have nice geometric interpretations .. We will look at the Scalar triple product Vector triple product Vector quadruple productScalar triple producta (b c) Scalar triple product given by the true determinanta (b c) = a1a2a3b1b2b3c1c2c3 Your knowledge of determinants tells you that if you swap one pair of rows of a determinant, sign changes; swap two pairs of rows, its sign stays the same.
Projection using vector triple product 2.7 •Books say that the vector projection of any old vector v into a plane with normal n is v INPLANE= n×(v ×nˆ). •The component of v in the nˆ direction is v ·n
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