Explanation of vectors
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Vectors:-These are those quantities which have magnitude as well as direction. For example, displacement, velocity,force, acceleration, momentum etc.
Unit Vector. A unit vector of →A is a vector of unit magnitude and had the same direction as that of the given vector. A unit vector is unitless anf dimensionless vector and represents direction only.
Equal vectors. The two vectors are said to be equal if they have equal magnitude and same direction.
Negative Vectors. A negative vector of a given vector is a vector of same magnitude but acting in a direction opposite to that of given vector. The negative vector of →A is represented by -→A
Collinear Vectors. These are those vectors which as acting along parallel straight lines.
Coplanar Vectors. These are those vectors which acting in the same plane.
Multiplication of Vector by real number. When a vector →A is multiplied by a real number n, it becomes another vector n→A. Uts magnitude becomes n times the magnitude of →A. Its direction is same or opposite as that of →A, according as n is positive or negative real number. The unit of n→A is the same as that of →A.
Multiplication of Vector by a scalar. When a vector →A is multiplied by a scalar S, it becomes vector S→A, whose magnitude is S times the magnitude of →A and it acts along the direction of →A. The unit of S→A is different from the unit of vector →A.
Resultant Vector. The resultant vector of two or more vectors is defined as that single vector which produces the same effect as is produced by individual vectors together. The resultant vector can be obtained from the rules of geometric addition of vectors.
Unit Vector. A unit vector of →A is a vector of unit magnitude and had the same direction as that of the given vector. A unit vector is unitless anf dimensionless vector and represents direction only.
Equal vectors. The two vectors are said to be equal if they have equal magnitude and same direction.
Negative Vectors. A negative vector of a given vector is a vector of same magnitude but acting in a direction opposite to that of given vector. The negative vector of →A is represented by -→A
Collinear Vectors. These are those vectors which as acting along parallel straight lines.
Coplanar Vectors. These are those vectors which acting in the same plane.
Multiplication of Vector by real number. When a vector →A is multiplied by a real number n, it becomes another vector n→A. Uts magnitude becomes n times the magnitude of →A. Its direction is same or opposite as that of →A, according as n is positive or negative real number. The unit of n→A is the same as that of →A.
Multiplication of Vector by a scalar. When a vector →A is multiplied by a scalar S, it becomes vector S→A, whose magnitude is S times the magnitude of →A and it acts along the direction of →A. The unit of S→A is different from the unit of vector →A.
Resultant Vector. The resultant vector of two or more vectors is defined as that single vector which produces the same effect as is produced by individual vectors together. The resultant vector can be obtained from the rules of geometric addition of vectors.
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Hi Friend,
Here is your answer,
What is vector?
A vector is a quantity that possesses magnitude and direction and obeys the parallelogram law of addition.
The more common notations are A( bar) and A
Examples:- Velocity, Force, Torque etc.
What is a Scalar?
A scalar is a quantity that as magnitude only.
Example- Speed,Time,Work etc.
There are 12 types of vectors:-
1. Like vectors
2.Unlike vectors
3.Equal vectors
4. Zero or Null Vectors
5.Negative Vector
6.Parallel vector
7.Coplanar vector
8.Position vector
9.Localized vector
10.Free vector
11.Co-initial vector
12.Unit vector
1.Like vector:-Two vectors are called like vectors if they have the same direction regardless of their magnitudes. a→a→ and b→b→are two like vectors then we can write a→a→ = k b→b→ where k is a scalar quantity.
2.Unlike Vector:-Two or more vectors representing same physical quantity are called unlike vectors.
3.Equal vector:- Two vectors are said to be equal is they have the same magnitude and direction.
4.Null or Zero vector: The vector whose length or magnitude is zero is called zero or null vector.
5.Negative vector: The two vectors whose magnitude is same but are in opposite direction are called negative vectors.
6.Parallel vectors: Two vectors are said to be parallel of both of them have either same or the opposite directions whatever may be their magnitudes.
7.Position Vector: The vector whose initial point is taken as the origin is called position vector.
8.Unit Vector: The vector whosemagnitude of length is unity 1 is called the unit vector.
9.Free vector,Co-initial vector,Localized vector
these 3 vectors are not useful!! so i haven't defined these 3 vectors!
Hope it helps you!
Here is your answer,
What is vector?
A vector is a quantity that possesses magnitude and direction and obeys the parallelogram law of addition.
The more common notations are A( bar) and A
Examples:- Velocity, Force, Torque etc.
What is a Scalar?
A scalar is a quantity that as magnitude only.
Example- Speed,Time,Work etc.
There are 12 types of vectors:-
1. Like vectors
2.Unlike vectors
3.Equal vectors
4. Zero or Null Vectors
5.Negative Vector
6.Parallel vector
7.Coplanar vector
8.Position vector
9.Localized vector
10.Free vector
11.Co-initial vector
12.Unit vector
1.Like vector:-Two vectors are called like vectors if they have the same direction regardless of their magnitudes. a→a→ and b→b→are two like vectors then we can write a→a→ = k b→b→ where k is a scalar quantity.
2.Unlike Vector:-Two or more vectors representing same physical quantity are called unlike vectors.
3.Equal vector:- Two vectors are said to be equal is they have the same magnitude and direction.
4.Null or Zero vector: The vector whose length or magnitude is zero is called zero or null vector.
5.Negative vector: The two vectors whose magnitude is same but are in opposite direction are called negative vectors.
6.Parallel vectors: Two vectors are said to be parallel of both of them have either same or the opposite directions whatever may be their magnitudes.
7.Position Vector: The vector whose initial point is taken as the origin is called position vector.
8.Unit Vector: The vector whosemagnitude of length is unity 1 is called the unit vector.
9.Free vector,Co-initial vector,Localized vector
these 3 vectors are not useful!! so i haven't defined these 3 vectors!
Hope it helps you!
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