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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.
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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.
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Question 3 What units are associated with unit vectors, î, ĵ and k̂?
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Question 4 Can the scalar product of two vectors be negative? Provide a proof and give an example.
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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?
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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?
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Question 7 Why a particle experiencing only one force can not be in equilibrium?
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Question 8 To open a door that has the handle on the right and the hinges on the left a torque must be applied. Is the clockwise or counterclockwise when viewed from above? Does your answer depend on whether the door opens towards or away from you?
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Question 9 Explain the warning, ‘never use a long wrench to tighten a small bolt’.
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Question 10 A central force is one which is always directed towards the same point. Can a central force give rise to torque about that point?
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