define vector and all the types
Answers
>>>A vector is a quantity that has both magnitude and direction & must follow the Δ law of vector addition...!!
types of vector...
1.Co-initial vectors: All those vectors whose initial points are same, such vectors are called co initial vectors
2.Co-terminal vectors :All those vectors whose terminal (end) points are same,such vectors are called co terminal vectors.
3. Coplanar Vectors:The vectors which lie in the same plane are called Co-planar Vectors
4.Null vectors: Any vector which has direction but no magnitude is called a null vector. For a null
5.Unit Vector: Any vector of unit magnitude is called unit vector.If \bar{a} is a vector,it’s unit vector is denoted by \hat{a}.This (\hat{a}) is read as a cap.
6.Like vectors : All the vectors acting in the same direction are called like vectors.
7. Unlike Vectors : Any two vectors parallel to one another and acting in opposite directions are called unlike vectors
8. Negative Vector : If AB= α is a vector,then DC = –α will be the negative vector of .α
9. Axial Vectors or (One dimensional Vectors) : The vectors acting along X,Y or Z axes ( or) vectors parallel to any one of the Axis are called axial vectors (or) one dimensional vectors.
10.Two dimensional vectors (or) Plane vectors:The vectors acting in XY-Plane or YZ-Plane or ZX-Plane are known as two dimensional vectors or also known as vectors in a plane.
11.Space Vector: If any vector possess components along all the three axes X,Y and Z such vectors are called space vectors
hope this helps you ...!!
Explanation:
The different types of vectors are :-
1.Equal vectors - when two vectors have equal magnitude and direction then they are said to be equal vectors.
2. Negative vectors - When two vectors have equal magnitude but are in the opposite directions then they are said to be negative vectors.
3.Zero vector - It is also known as null vector. The magnitude of null vector is zero and it's direction is not defined.
4 .Unit vector - These vectors have a unit magnitude and therefore, said as unit vectors. It is dimensionless and shows only the direction.
5 . Orthogonal unit vector - The unit vectors which are in the direction of the orthogonal axis such as X, Y or Z are said to be orthogonal unit vectors.
6.Co-initial vectors - The vectors having a common initial or starting point is called as co-initial vector.
7.Collinear vectors - The vectors having the equal or unequal vectors but acts along the same parallel lines are called as collinear vectors.
8.Coplanar vectors - The vectors acting along the same plane are called as Coplanar vectors.
9.Localised vector - The vectors whose initial point is fixed is called as localised vectors.
10.Non-Localised vector - Vectors whose initial point is not fixed is called as non-localised or free vectors.
11.Position vectors - The vectors representing the straight line distance and direction of any point from the origin are known as positional vectors.