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

 

Please click on –  OP Malhotra ISC Class 12 Solutions

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