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Prove that (i) [hat(i)hat(j)hat(k)]=[h...

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`

Answer

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

(hat(k)xx hat(j)).hat(i)+hat(j).hat(k)= ………….

Knowledge Check

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    Find the value of : (i) (hat(i) xxhat(j))*hat (k) + hat(i)* hat(j) (ii) (hat(k) xx hat(j))* hat(i) +hat(j)* hat(k) hat(i) xx (hat(j) + hat(k) )+hat(j) xx(hat(k) +hat(i))+ hat(k) xx (hat(i)+hat(j))

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