SOLUTION: 1)Let q1 = 1+ i + j + k and q2 = 1. Find (i)q^2 1, (ii)q^2 2, (iii) q1q2, (iv)q2q1 2)i)Let q1 = i + 2j - k and q2 = -i - j + k be two quaternions, find q1q2 (ii)In 3-D space,l

Question 1056874: 1)Let q1 = 1+ i + j + k and q2 = 1. Find
(i)q^2 1, (ii)q^2 2, (iii) q1q2, (iv)q2q1
2)i)Let q1 = i + 2j - k and q2 = -i - j + k be two quaternions, find q1q2
(ii)In 3-D space,let v1= (1,2,-1), v2 = (-1,-1,1) be two vectors, find v1 . v2
(iii)In 3-D space,let v1= (1,2,-1), v2 = (-1,-1,1) be two vectors, find v1 x v2

Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
One question per post, please.

It is the RULE of this forum.

And, please, be more accurate in your writing next time.

For example, let assume (for a minute) that I want to ask your question #1:

1)Let q1 = 1+ i + j + k and q2 = 1. Find
(i)q^2 1, (ii)q^2 2, (iii) q1q2, (iv)q2q1

What are i, j, k here? Quaternion units?
Why do not say it at very beginning?
How can I recognise them otherwise?

What is (i)q^2 1 ??

What is (ii)q^2 2 ???

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