OP Malhotra **Vectors 2** ISC Class-12 Maths Solutions Ch-22. Step by step Solutions of OP Malhotra SK Gupta, Anubhuti Gangal S.Chand ISC Class-12 Mathematics with Exe-22(a), Exe-22(b), Exe-22(c),Self Revision and Chapter Test. Visit official Website CISCE for detail information about ISC Board Class-12 Mathematics.

## OP Malhotra Vectors 2 ISC Class-12 Maths Solutions Ch-22

Class: | 12th |

Subject: | Mathematics |

Chapter : | Ch-22 Vectors 2 of Section -B |

Board | ISC |

Writer | OP Malhotra, SK Gupta, Anubhuti Gangal |

Publications | S.Chand Publications 2020-21 |

**-: Included Topics :-**

Exe-22(a),

Exe-22(b),

Exe-22(c),

Self Revision

Chapter Test

### OP Malhotra Vectors 2 ISC Class-12 Maths Solutions Ch-22

**Vector:** Those quantities which have magnitude, as well as direction, are called vector quantities or vectors.

**Note:** Those quantities which have only magnitude and no direction, are called scalar quantities.

The various types of vectors included in vector algebra for class 12 concepts are

- Zero Vector
- Unit Vector
- Position Vector
- Co-initial Vectors
- Collinear Vectors
- Equal Vectors
- Negative of a Vector

**Zero Vector :- **A zero vector is a vector when the magnitude of the vector is zero and the starting point of the vector coincides with the terminal point. In other words, for a vector AB¯ the co-ordinates of the point **A¯** are same as that of the point **B¯** then the vector is said to be a zero vector and is denoted by 0**.**

**Unit Vector** :-A vector which has a magnitude of unit length is called a unit vector. Suppose if x is a vector having a magnitude x then the unit vector is denoted by **x̂** in the direction of the vector x¯ and has the magnitude equal to 1.

**Position Vector** :- If **O** is taken as reference origin and **A** is an arbitrary point in space then the vector O¯A¯ is called as the position vector of the point.

Position vector simply denotes the position or location of a point in the three-dimensional Cartesian system with respect to a reference origin.

**Collinear Vectors :-** Vectors which lie along the same line or parallel lines are known to be collinear vectors. They are also known as parallel vectors.

**Equal Vectors :-** Two or more vectors are said to be equal when their magnitude is equal and also their direction is the same.

**Negative of a Vector :-** If two vectors are the same in magnitude but exactly opposite in direction then both the vectors are negative of each other. Assume there are two vectors **a** and **b, **such that these vectors are exactly the same in magnitude but opposite in direction then these vectors can be given by

**a **= – **b**

**Exe-22(a)**

### OP Malhotra Vectors 2 ISC Class-12 Maths Solutions Ch-22

**Exe-22(b)**

### Vectors 2 ISC Class-12 Maths Solutions Ch-22

**Exe-22(c)**

### OP Malhotra Vectors 2 ISC Class-12 Maths Solutions Ch-22

**Self ****Revision**

### OP Malhotra Vectors 2 ISC Class-12 Maths Solutions Ch-22

**Chapter Test**

### Vectors 2 ISC Class-12 Maths Solutions Ch-22

**-: End of Vectors 2 ****S. Chand ISC Class-12 Maths Solution :-**

Return to :- OP Malhotra S. Chand ISC Class-12 Maths Solutions

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