ECE 470 Luke A. Wendt HW1

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ECE 470 Luke A. Wendt HW1 Solutions 09-11-14 Page 1 of 9 2-1 2-2 2-3 2-10 2-11 2-12 2-13 2-23

Transcript of ECE 470 Luke A. Wendt HW1

Page 1: ECE 470 Luke A. Wendt HW1

ECE 470 Luke A. Wendt

HW1 – Solutions 09-11-14

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ECE 470 Luke A. Wendt

HW1 – Solutions 09-11-14

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[

√ √

√ √

]

( ) (

), which is counter clockwise from

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A la Care Set I http://en.wikipedia.org/wiki/Quaternion

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ECE 470 Luke A. Wendt

HW1 – Solutions 09-11-14

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ECE 470 Luke A. Wendt

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ECE 470 Luke A. Wendt

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ECE 470 Luke A. Wendt

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ECE 470 Luke A. Wendt

HW1 – Solutions 09-11-14

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A la Cart Set II

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ECE 470 Luke A. Wendt

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ECE 470 Luke A. Wendt

HW1 – Solutions 09-11-14

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A la Cart Set III http://en.wikipedia.org/wiki/Rodrigues'_rotation_formula

1.

( ) ( ) (

)

2.

( ) ( ) ( ) ( )

3.

( ) ( ( ) ) ( ) ( )

4.

( ) ( ) ( ( ) )

5.

( ) (

) (

)

( ) (

(

) (

)

(

) (

)

(

) (

)

)

(

) ( )

6.

( ) (∑ ( )

) ( ) ( ) { ( )

( )

( ) ( )

7.

( ) ( ( ) ∑ ( ( )

)

( ) ∑ ( ( )

)

) ( )

( ( )∑( ( )

( ) )

( )∑( ( )

( ) )

) ( )

8.

∑( ( )

( ) )

( )

∑( ( )

( ) )

( )

( ) ( ( ) ( ) ( ( )) ( )) ( )