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- which of the following are the cordinates of point b on the directed line segment AC such as AB is 1/5 of AC?Which of the following statements about the finite geometries is/are true ? A. Pappus geometry has exactly nine points and nine lines. B. Desargues geometry results to ten points and ten lines. C. Young's geometry has ten lines and seven points. D. Fano's geometry has exactly seven points and seven lines.Problem 10For the following partition describe the corresponding equivalence relation without anyreference to the name of the partition. Let D be the partition of R2 consisting of all circlesin R2 centered at the origin (the origin itself is considered a “degenerate” circle).
- From the definition of a Dedekind cut of a line, define a Dedekind cut for a ray, in such a way that it shows that Dedekind's axiom also holds for a ray.Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0) traversed in this order.Let →a=⟨5,−4⟩ and →b=⟨4,3⟩Find the projection of →b onto →aproj→a →b=
- given u= <8,11> and v=<2,4> find the projection of u onto vShow that the relation R in the set A of points in a plane given by R = {(P, Q) : distance of the point P from the origin is same as the distance of thepoint Q from the origin}, is an equivalence relation. Further, show that the set of all points related to a point P ≠ (0, 0) is the circle passing through P with origin as centre.In a reflection across line L, any point P on line L maps to P' where ______________. Any point A not on line L maps to A' such that