Observe the following statements A. Three vectors are coplanar if one of them is expressible as a linear…

Observe the following statements A. Three vectors are coplanar if one of them is expressible as a linear combination of the other two. R. Any three coplanar vectors are linearly dependent. Then, which of the following is true?
  1. Both $A$ and $R$ are true and $R$ is the correct explanation of $A$
  2. Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$
  3. $A$ is true, but $R$ is false
  4. $A$ is false, but $R$ is true

Solution

Both Statement A and $\mathrm{R}$ are true. But $\mathrm{R}$ is not correct explanation of A.

Asked in: AP EAMCET 2005

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