1. Let R € SO(3), a unit vector u denote the axis-angle satisfying:a) What is the determinant of [u]×?b) In epipolar geometry, we have the fundamental matrix F. Show the determinant of F det (F) = 0. (Hint:det (A) det (B) = det(AB))c) Given an arbitrary vector a=· [1, 0, 0]T, and a 3D rotation transformation represented by axisTand the angle = , what is the a' transformed from vector a with the 3D rotation?U =R = I + sin 0[u]× + (1 − cos €) [u]²[2-42,0]¹√2

The notation you're using seems to involve rotation matrices and axis-angle representation commonly…

Answered: 1. Let R = SO(3), a unit vector u…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.9: Properties Of Determinants

Problem 34E

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1. Let R = SO(3), a unit vector u denote the axis-angle satisfying: