Question

How do you prove vectors are collinear $?$

Answer 1

To prove vectors are collinear:

Let us assume the three points with position vectors are $a,b$and $c$

To prove the vectors $a,b$ and $c$are collinear , if and only if the vectors $\left(a-b\right),\left(a-c\right)$ are parallel.

Otherwise, to prove the collinearity of the vectors, we have to prove $\left(a-b\right)=k\left(a-c\right)$ , where$k$ is the constant.

Hence, vector can be proved collinear by above conditions.