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Unformatted text preview: c 11 c 12 c 13 c 21 c 22 c 23 c 31 c 32 c 33 = q 2 1q 2 2q 2 3 + q 2 4 2( q 1 q 2q 3 q 4 ) 2( q 1 q 3 + q 2 q 4 ) 2( q 1 q 2 + q 3 q 4 )q 2 1 + q 2 2q 2 3 + q 2 4 2(q 1 q 4 + q 2 q 3 ) 2( q 1 q 3q 2 q 4 ) 2( q 1 q 4 + q 2 q 3 )q 2 1q 2 2 + q 2 3 + q 2 4 Show that 1 + c 11 + c 22 + c 33 = 4 q 2 4 . Show that c 21c 12 = 4 q 3 q 4 . Find an algorithm to calculate a quaternion from a rotation matrix. In other words, solve for all four q i ’s as a function of the nine c ij ’s. 2...
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 Fall '08
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 Vector Space, Quaternion, Q4, Electronic Navigation Systems

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