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  • The volume of parallelopiped with its four vertices as <img alt="\vec{0},\hat{i},\hat{j},\hat{k}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cvec%7B0%7D%2C%5Chat%7Bi%7D%2C%5Chat%7B

The volume of parallelopiped with its four vertices as \vec{0},\hat{i},\hat{j},\hat{k} is

Option: 1

\frac{1}{6}
 


Option: 2

\frac{1}{3}

 


Option: 3

\frac{1}{2}


Option: 4

1


Answers (1)

best_answer

As we learned

Scalar Triple Product of unit vectors -

\left[\hat{i}, \hat{j}, \hat{k} \right]

- wherein

\hat{i} \hat{j} \hat{k} are the three vectors.

 

 Volume =\left | \left [ \hat{i}\hat{j}\hat{k} \right ] \right |=\left |\left [ \hat{i}\cdot (\hat{j}\times\hat{k} )\right ] \right |=1

Posted by

Irshad Anwar

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