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Question

The value of i^×j^+k^+j^×(k^+i^)+k^×i^+j^ is?


A

0

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B

i^

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C

j^

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D

k^

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Solution

The correct option is A

0


Explanation of the correct option:

Find the value of the given expression.

In the question, an expression i^×j^+k^+j^×(k^+i^)+k^×i^+j^ is given.

We know that, i^×j^=k^,i^×k^=-j^,j^×k^=i^,j^×i^=-k^,k^×i^=j^ and k^×j^=-i^.

Simplify the given expression as follows:

i^×j^+k^+j^×(k^+i^)+k^×i^+j^=i^×j^+i^×k^+j^×k^+j^×i^+k^×i^+k^×j^i^×j^+k^+j^×(k^+i^)+k^×i^+j^=k^-j^+i^-k^+j^-i^i^×j^+k^+j^×(k^+i^)+k^×i^+j^=0

Therefore, the value of the given expression is 0.

Hence, option (A) is the correct answer.


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