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CMI 2017 #2

Source: CMI 2017

April 26, 2018
CMIChennai Mathematical InstituteB.ScmathCS20173D geometry

Problem Statement

Let LL be the line of intersection of the planes  x+y=0 ~x+y=0~ and  y+z=0~y+z=0.
(a) Write the vector equation of LL, i.e. find (a,b,c)(a,b,c) and (p,q,r)(p,q,r) such that L={(a,b,c)+λ(p,q,r)  ∣ λ∈R}L=\{(a,b,c)+\lambda(p,q,r)~~\vert~\lambda\in\mathbb{R}\} (b) Find the equation of a plane obtained by x+y=0x+y=0 about LL by 45∘45^{\circ}.
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