Vector definition,addition subtraction and scalar multiplication Key examples for solid understanding of Vector definition,addition subtraction and scalar multiplication The scalar product(dot product, inner product) of 2 vectors Vector projection and example Cross product of 2 vectors Lines and planes 4 key aspects about lines and planes: 1.Equations: vector form, parametric form and Cartesian form, conversion between different forms, find the equations(ie,give 2 points to find the equation of a line, give 3 points to find the equation of a plane, give 2 lines to find the equation of a plane, give a equation of a plane to find another plane which is parallel to the given plane). 2.Intersections: line and line, line and plane, plane and plane. Line and line could have no intersection because they are parallel or skew. To find the intersection between a line and plane, just plug the parametric format of the line to the...
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