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Vectors \hat{i},\hat{j},\hat{k} are

Option: 1

Collinear


Option: 2

Coplanar


Option: 3

NOn-coplanar


Option: 4

None of these


Answers (1)

best_answer

As we learned

Coplanar vectors -

x\hat{a}+y\hat{b}+z\hat{c}=0

- wherein

\hat{a},\hat{b},\hat{c} are coplanar and x,y,z are scalars (not all zero)

 

 For them to be collinear, every two of them must be fit on \vec{a}=\lambda \vec{b}, for some \lambda \epsilon R, but its not so

So, they are non-collinear.

Now, for coplanarily, check,  x\hat{i}+y\hat{j}+z\hat{k}=\vec{0} is possible only when x=y=z=0

\therefore \hat{i},\hat{j},\hat{k} are non-coplanar

So, option (C)

 

Posted by

Nehul

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