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Exercise [11.03]
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Joined: 25 Feb 2008, 13:32
Posts: 106
Location: Cape Town, South Africa
Exercise [11.03]
If

Where

Then

The inverse quaternion is equal to the quaternion conjugate multiplied by the inverse of the norm.

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Our imagination is stretched to the utmost, not, as in fiction, to imagine things which are not really there, but just to comprehend those things which are there.

 Last edited by Shaun Culver on 28 May 2008, 17:57, edited 3 times in total. Edited

25 May 2008, 01:33

Joined: 12 Mar 2008, 10:57
Posts: 69
Location: India
Re: Exercise [11.3]
The conjugate is defined by,

The inverse satisfies

We define
This definition works because
and

(because ;see[11.2])
P.S.Shaun,your argument should go like this.

26 May 2008, 10:32

Joined: 25 Feb 2008, 13:32
Posts: 106
Location: Cape Town, South Africa
Re: Exercise [11.3]
I've modified the solution slightly.

Is there something wrong with my argument?

_________________
Our imagination is stretched to the utmost, not, as in fiction, to imagine things which are not really there, but just to comprehend those things which are there.

26 May 2008, 17:33

Joined: 12 Mar 2008, 10:57
Posts: 69
Location: India
Re: Exercise [11.3]
Initially the argument did have an error,but you seem to have spotted it and corrected it.

27 May 2008, 09:25
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