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** FSc Notes: Physics XI: Chapter 02 (1-10) **

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** Vectors and Equilibrium Exercise SQ:**

#### Majority of these question need diagram to explain but i have not drawn the diagrams.

**Question 2.1 Define the terms (i) unit vector (ii) Position vector (iii) Components of a vector?**

Answer 2.1Definition of these terms is given below

Answer 2.1

**Unit Vector:**A unit vector in a given direction is a vector with magnitude one in that direction.**Position Vector:**The position vector r is a vector that describes the location of a particle with respect to the origin.**Components of a vector:**A component of a vector is its effective value in a given direction.

**Question 2.2 The vector sum of three vectors gives a zero resultant. What can be the orientation of the vectors?**

Answer 2.2If three vectors are drawn, to make a closed triangle, then their vector sum will be zero.

Answer 2.2

**Question 2.3 Vector A lies in the xy plane. For what orientation will both of its rectangular components be negative? For what orientation will its components have opposite signs?**

Answer 2.3Orientation of a vector having components negative and opposite is given below:

Answer 2.3

- Vector
**A**lies in**3rd quadrant**, its rectangular components will be**negative**. - When the vector will lie in
**2nd**or**4th**quadrant, its components will have**opposite signs**.

**Question 2.4 If one of the rectangular components of a vector is not zero, can its magnitude be zero? Explain.**

Answer 2.4 No. Its magnitude cannot be zero, when one of the components of the vector is not zero. E.g. if

Answer 2.4 No

**Ax ≠0 & Ay = 0 then A = √ ((Ax) 2 + (0)2) = √ (Ax) 2 = Ax ≠ 0**

**Question 2.5 Can a vector have a component greater than the vector’s magnitude?**

Answer 2.5

Answer 2.5

**No**. A vector cannot have a component greater than the vector’s magnitude.

**As A = √ ((Ax) 2 + (Ay) 2)**

**Question 2.6 Can the magnitude of a vector have a negative value?**

Answer 2.6 No. The magnitude of a vector has always positive values; As A = √ ((Ax) 2 + (Ay) 2).

Answer 2.6 No

**Question 2.7 If A+B=0, what can you say about the components of the two vectors?**

Answer 2.7A + B = 0 Two Vectors sum will be zero vector if their components are equal and opposite.

Answer 2.7

**Question 2.8 Under what circumstances would a vector have components that are equal in magnitude?**

Answer 2.8When θ = 45 degree , the components will have equal magnitude for a vector making angle 45 degree with X-axis.

Answer 2.8

**Question 2.9 Is it possible to add a vector quantity to a scalar quantity? Explain.**

**Answer 2.9 No**. It is not possible to add a vector quantity to a scalar quantity. Different physical quantities cannot be added according to the rules of algebra.

**Question 2.10 Can you add zero to a null vector?**

Answer 2.10 No. We cannot add zero to a null vector. Because zero, a scalar quantity cannot be added with a vector quantity the null vector.

Answer 2.10 No

good notes

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