I. Two non-zero, non-collinear vectors are linearly independent.
II. Any three coplanar vectors are linearly dependent. Which of the above statements is/ are correct?

Only I

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Only II

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Both I and II

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Neither I nor II

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Solution

The correct option is C
Both I and II

The linear independence of any two non-zero, non-collinear vectors and the linear dependence of any three coplanar vectors are both true.
Consequently, both claims are true.
Therefore, Option C is correct.

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