For Three Vectors  which Of The Following Expressions Is Not Equal To Any Of The Remaining Three?

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Question

For three vectors  which of the following expressions is not equal to any of the remaining three?

Solution

Correct option is

 

We have,   

      

So, expression in options (i) and (ii) are equal.   

Since the positions of dot and cross can be interchanged in scalar triple product. Therefore,   

       

So, expression in options (i) and (iv) are equal.

  

Hence, expression in (iii) is note equal to the remaining three.

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