Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 2, Section I, G

Geometry and Groups | Part II, 2013

Let ℓ1,ℓ2\ell_{1}, \ell_{2}ℓ1​,ℓ2​ be two straight lines in Euclidean 3-space. Show that there is a rotation about some axis through an angle π\piπ that maps ℓ1\ell_{1}ℓ1​ onto ℓ2\ell_{2}ℓ2​. Is this rotation unique?

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