## Vectors and Equilibrium, Conceptual Questions

This page consists of solved conceptual questions of Vectors and Equilibrium included in the new course of First Year Physics.

S.No Question
Question 1 Is it possible to add three vectors of equal magnitudes but different directions to get a null vector? Illustrate with a diagram.
Question 2 The magnitudes of three vectors are 2 cm, 3 cm and 5 cm, respectively. The directions are at your disposal. Can these vectors be added to yield zero? Illustrate with a diagram.
Question 3 What units are associated with unit vectors, î, ĵ and k̂?
Question 4 Can the scalar product of two vectors be negative? Provide a proof and give an example.
Question 5 A and B are two non-zero vectors. (a) How can their scalar product be zero? And (b) how can their vector product be zero?
Question 6 Suppose you are given a known non-zero vector A. The scalar product of A with an unknown vector B is zero. Likewise, the vector product of A with B is zero. What can you conclude about B?