Observe the following statements:A. Three vec | vedclass

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(B) Statement $A$ is true because three vectors $\vec{a}, \vec{b}, \vec{c}$ are coplanar if and only if there exist scalars $x, y$ such that $\vec{c}

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Both $A$ and $R$ are true but $R$ is not the correct explanation of $A$

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(B) Statement $A$ is true because three vectors $\vec{a}, \vec{b}, \vec{c}$ are coplanar if and only if there exist scalars $x, y$ such that $\vec{c} = x\vec{a} + y\vec{b}$ (assuming $\vec{a}$ and $\vec{b}$ are non-collinear).Statement $R$ is true because any set of three coplanar vectors in $3D$ space is linearly dependent, as their scalar triple product is zero.However, $R$ is a general property of coplanar vectors and does not serve as the definition or the direct logical derivation for the specific condition stated in $A$. Thus, $R$ is not the correct explanation of $A$.

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?

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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?