Quaternions, how to prove q^** = q

hsong9 · Apr 14, 2009

Homework Statement

quaternion q = a + bi + cj + dk
conjugate q* = a - bi - cj - dk

I do not know how I get (q*)* = q

The Attempt at a Solution

Dick · Apr 14, 2009

a, b, c and d are real, aren't they? Just take the double conjugate.

hsong9 · Apr 14, 2009

a,b,c, and d are real.
so just..
show that (q*)* = q
(a + bi + cj + dk)* = a - bi - cj - dk and
(a - bi - cj - dk)* = a + bi + cj + dk Complete.
is it enough?

Dick · Apr 15, 2009

I can't think of anything I'd add.

Quaternions, how to prove q^** = q

Homework Statement

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Quaternions, how to prove q^** = q

Homework Statement

The Attempt at a Solution

Discussion

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