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.

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 .

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.

Find the value of k, if the points A (8, 1), B (3, -4) and C (2, k) are collinear.

Let point (−2,3,5),(1,2,3)and(7,0,−1) be denoted by P , Q , and R respectively.

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

Let a, b and c be three non - zero vectors which are pairwise non- collinear. If a + 3b is collinear with c and b + 2c is collinear with a, then a + 3b + 6c is equal to

Click here:point_up_2:to get an answer to your question :writing_hand:show that the points 11 52 and 95 are collinear

Using vectors, find the values of k such that the points (k, − 10, 3), (1, − 1, 3) and (3, 5, 3) are collinear.

Find the value of m if the points (5,1),(−2,−3) and (8,2m) are collinear.