1.

Let vec(a), vec(b), vec(c) be the position vectors of points A, B, C respectively. Under which one of the following conditions are the points A, B, C collinear?

Answer»

`VEC(a)xxvec(b)=vec(0)`
`vec(b)xxvec(C)` is parallel to `vec(a)xxvec(b)`
`vec(a)xxvec(b)` is perpendicular to `vec(b)xxvec(c)`
`(vec(a)xxvec(b))+(vec(b)xxvec(c))+(vec(c)xxvec(a))=vec(0)`

Solution :Points A, B and c are COLLINEAR, if
`(vec(a)xxvec(b))+(vec(b)xxvec(c))+(vec(c)xxvec(a))=vec(0)`


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