In this article, we will look at different types of vectors like zero, unit, coinitial, collinear, equal and negative vectors. Further, we will solve some examples to get a better understanding.
Collinear points are points that lie on the same line. The word 'collinear' breaks down into the prefix 'co-' and the word 'linear.' 'Co-' indicates togetherness, as in coworker or cooperate. 'Linear' refers to a line. So, collinear basically means points that hang out on the same line together.
In the given figure , the common tangents AB and CD to two circles with centres O and O' intersect at E . Prove that the point O , E and O' are collinear .
Let a,b and c be three non-zero vectors, no two of which are collinear. If the vector a+2b is collinear with c, and b +3c is collinear with a, then a+2b+6c is equal to