Observe the following statements:A. Three vec | vedclass

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(B) Statement $A$ is true because if three vectors $\vec{a}, \vec{b}, \vec{c}$ are coplanar,then one can be written as $\vec{c} = x\vec{a} + y\vec{b}$

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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 if three vectors $\vec{a}, \vec{b}, \vec{c}$ are coplanar,then one can be written as $\vec{c} = x\vec{a} + y\vec{b}$ for some scalars $x$ and $y$.Statement $R$ is also 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,while $A$ is a specific condition for coplanarity. 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?