[" 1.Prove that "],[[" (i) "[hat ihat jh...

[" 1.Prove that "],[[" (i) "[hat ihat jhat k]=[hat jhat khat i]=[hat khat jhat i]=1],[" (ii) "[hat ihat khat j]=[hat khat jhat i]=[hat jhat ihat k]=1]]

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Evaluate [hat ihat jhat k][hat ihat khat j]

Prove that (i) [hat(i)hat(j)hat(k)]=[hat(j)hat(k)hat(i)]=[hat(k)hat(j)hat(i)]=1 (ii) [hat(i)hat(k)hat(j)]=[hat(k)hat(j)hat(i)]=[hat(j)hat(i)hat(k)]=1

Evaluate: :[hat ihat jhat k]+[hat jhat khat i]+[hat khat ihat j][2hat ihat jhat k]+[hat ihat khat j]+[hat khat jhat 2hat i]

Evaluate the following: [hat ihat jhat k]+[hat jhat khat i]+[hat khat ihat j]

Evaluate : [ hat i hat j hat k]+[ hat j hat k hat i]+[ hat k hat i hat j] [2 hat i hat j hat k]+[ hat i hat k hat j]+[ hat k hat j2 hat i]

Evaluate hat i.(hat jxhat k)+hat j*(hat kxhat i)+hat k*(hat ixhat j)

Write the value of [hat i+hat jhat j+hat khat k+hat i]

Evaluate the following: [ hat i\ hat j\ hat k]+[ hat j\ hat k\ hat i]+[ hat k\ hat i\ hat j] .

Prove that [hat(i)hat(j)hat(k)]=1, and [hat(i)hat(k)hat(j)]=-1 .