## Two-dimensional victor geometry |

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2kir acceleration vector algebra associative law Axiom VIII basis for vectors bound vector called chosen Commutative law components const corresponding curve curvilinear coordinates defined definition denote derivative describes the motion directed line seg directed line segment directrix distance ellipse equal Equations 14-2 equivalence relation Euclidean example Figure 15 fixed geometry given graph Hence Hint hyperbola inequality initial point inner product interpreted length linear combination linearly dependent linearly independent vectors locus midpoint moves negative nonzero vector normal vector objects obtain ordinary functions origin orthogonal basis pairs parallel lines parallelogram parametric equations perpendicular plane polar angle polar axis polar coordinates positive Prob Problem proof properties Prove radians radius rectangular coordinates represented rule Scalar times vector Section set of axioms Show shown in Figure sides speed straight line suggested in Figure tangent line triangle inequality unit vector values varies vector equation vector function vector space velocity vector x-axis y-intercept