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Question

Let
v=i×(j×(k×(i×(j×(k×(i×(j×(j×k))))))))
Then the value of v is

A
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B
1
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C
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D
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Solution

The correct option is C 1
v=i×(j×(k×(i×(j×(k×(i×(j×(j×k))))))))

i×j=k,j×k=i,k×i=j

j×i=k,k×j=i,i×k=j

v=i×(j×(k×(i×(j×(k×(i×(j×i)))))))

v=i×(j×(k×(i×(j×(k×(i×k))))))

v=i×(j×(k×(i×(j×(k×j)))))

v=i×(j×(k×(i×(j×i))))

v=i×(j×(k×(i×k)))

v=i×(j×(k×j))

v=i×(j×i)

v=i×k

v=j

||v||=1

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