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Question

Choose the correct answer
The value of ^i.(^j×^k)+^j.(^k×^i)+^k(^i×^j) is
a) Zero
b) - 1
c) 1
d) 3

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Solution

We have ^i.(^j×^k)+^j.(^k×^i)+^k(^i×^i)=^i.^i+^j.^j+^k.^k
[^j×^k=^i,^k×^i=^j,^i×^j=^k]
=1+1+1=3 [^i.^i=^j.^j=^k.^k=1]


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