Dot product and vector projections (Sect. 12.3) There are ...
Dot product and vector projections (Sect. )ITwo definitions for the dot definition of dot product and orthogonal of the dot product in vector and vector projection are two main ways to introduce the dot productGeometricaldefinition Properties Expression Properties Definition choose the first way, the textbook chooses the second product and vector projections (Sect. )ITwo definitions for the dot definition of dot product and orthogonal of the dot product in vector and vector projection dot product of two vectors is a scalarDefinitionLetv,wbe vectors inRn, withn= 2,3, having length|v|and|w|with angle in between , where 0 . Thedot productofvandw, denoted byv w, is given byv w=|v||w|cos( ).
Cross product and determinants (Sect. 12.4) I Two definitions for the cross product. I Geometric definition of cross product. I Parallel vectors. I Properties of the cross product. I Cross product in vector components. I Determinants to compute cross products. I Triple product and volumes. There are two main ways to introduce the cross ...
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