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 …

Determine whether the following points are collinear or not: P (1,5), Q (2,3) and R (-2, -11)

If three points are collinear, then they lie on a line. Let first calculate distance between the 3 points i.e, PQ, QR and PR P (1,2,3) and Q (7,0,1)

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.

By using slopes, show that the following points are collinear A(0,4), B(2,10), C(3,13) View Solution Q 4

Two vectors are collinear if they are parallel to the same line, irrespective of their magnitude and direction.

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

¯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.