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. …

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

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 .

Q 5 32. Let a,b,c are three non zero vectors such that any two of them are non-collinear. If a+b is collinear with c and b+c is collinear with a, then value of a+b+c equals View Solution

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

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

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