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.

Three points A,B,C are collinear if direction ratios of AB and BC are proportional.

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. …

Three points A, B, C are collinear if direction ratios of A B and B C are proportional.

As we know that if three points are collinear then they will lie of a same plane and thus will not form a triangle. Therefore, Area of triangle formed by these points will be 0 Therefore,

Using the vector equation of the straight line passing through two points, prove that the points whose vectors are a,b and (3a−2b) are collinear.

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 .

Find the value of λ so that the points (1, −5), (−4, 5) and λ, 7 are collinear. View Solution Q 5

Question 2 Find the relation between x and y if the points (x, y), (1, 2) and (7, 0) are collinear.

¯a and ¯b are non collinear vectors. If ¯c = (x−2)¯a +¯b and ¯d = (2x+1)¯a −¯b are collinear vectors, then find the value of x.