Assertion (A): Three points with position vectors \[ \vec{a}, \vec{b}, \vec{c} \text { are colli...

Assertion (A): Three points with position vectors
\[
\vec{a}, \vec{b}, \vec{c} \text { are collinear if } \vec{a} \times \vec{b}+\vec{b} \times \vec{c}+\vec{c} \times \vec{a}=0
\]
Reason (R): Three points \( \mathrm{A}, \mathrm{B}, \mathrm{C} \) are collinear if \( \overrightarrow{\mathrm{AB}}=t \overrightarrow{\mathrm{BC}} \), where \( t \) is scalar.
(A) Both A and R are true and R is the correct explanation of A.br(B) Both A and R are true, but R is not the correct explanation of A.
(C) A is true, but R is false.
(D) A is false, but R is true.
(E) Both A and R are false.