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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