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If , then which of the following is true?

  4. None of these.

Answer (Detailed Solution Below)

Option 1 :
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Detailed Solution

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Concept:

For three vectors ,  and :

  • Triple Cross Product: is defined as: 

Calculation:

Given that: 

⇒ 

⇒ 

⇒ 

⇒ , which is the required answer.

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Q1.The vectors \(\rm \vec a, \vec b\ and\ \vec c\) are of the same length. If taken pairwise they form equal angles. If \(\rm \vec a=̂ i+̂ j\ and \ \vec b=̂ j+̂ k,\) then what can \(\vec c\) be equal to?  I. î + k̂  II. \(\rm \frac{-\hat i+4\hat j-\hat k}{3}\) Select the correct answer using the code given below. 
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