Quaternion

Algebra Level 1

i i , j j , and k k are basis elements of H H (quaternions). What is the value of

i j k = ? ijk=?

0 1 ∞ \infty -1

Nazmus Sakib by Nazmus sakib , 24, Bangladesh

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1 solution

Hana Wehbi
Nov 5, 2017

The defining properties relating i , j and k i,j \text{ and } k

i 2 = − 1 , j 2 = − 1 and k 2 = − 1 ⟹ i j k = − 1. i^2= -1, j^2= -1 \text{ and } k^2= -1 \implies ijk= -1.

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