Question

In the given figure, which of the following vectors are coinitial?

(a) \(\vec{a}\), \(\vec{c}\) and \(\vec{b}\)

(b) \(\vec{d}\), \(\vec{c}\) and \(\vec{b}\)

(c) \(\vec{a}\) and \(\vec{c}\)

(d) \(\vec{b}\) and \(\vec{c}\)

I had been asked this question in a national level competition.

Question is taken from Types of Vectors in portion Vector Algebra of Mathematics – Class 12

Answer 1

Right option is (a) \(\vec{a}\), \(\vec{c}\) and \(\vec{b}\)

Explanation: Two vectors are said to coinitial if they have the same initial point. In the given figure, vectors \(\vec{a}\), \(\vec{c}\) and \(\vec{b}\) are starting from the point, hence they are coinitial.