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  • Which of the following doesn't represent three coplanar vectors?Option: 1 <img alt="\hat{i},\, 2\hat{i},\, \hat{i}+\hat{j}+\hat{k}" src="https://

Which of the following doesn't represent three coplanar vectors?

Option: 1

\hat{i},\, 2\hat{i},\, \hat{i}+\hat{j}+\hat{k}


Option: 2

\hat{i}-\hat{j}+\hat{k}, \, -2\hat{i}+2\hat{j}-2\hat{k},\, \hat{i}+\hat{j}+\hat{k}


Option: 3

\hat{i}-\hat{j}+\hat{k}, \, -\hat{i}+\hat{j}-\hat{k},\, 2\hat{i}-2\hat{j}+2\hat{k}


Option: 4

None of these


Answers (1)

best_answer

As we learned

Coplanar vectors -

If any two of \vec{a},\vec{b},\vec{c} are collinear, then \vec{a},\vec{b},\vec{c} are coplanar

- wherein

\vec{a},\vec{b},\vec{c} are three vectors.

 

 In (A), (B) out of three vectors, two vectors are collinear so they will represent co-planar vectors.

In (C), all three are collinear, hnce they are also coplanar

\therefore option (D)

 

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