# Vectors

Physical quantities are mainly classified into two types, viz. Scalars and Vectors.
Scalar quantities are those physical quantities which have only magnitude but no direction e.g. mass, length, time, temperature, density, work, power, energy etc.
Scalars can be added or subtracted by rules of simple algebra.
Vector quantities are those physical quantities which have both magnitude as well as direction e.g. velocity, acceleration, force, displacement etc.

Differences b/w scalars and vectors:
 Scalars Vectors (1) Scalar quantities have only magnitude. (1) Vectors have both magnitude and direction. (2) It obeys ordinary laws of algebra. (2) It does not obey ordinary laws of algebra. (3) Product of two scalars always gives a scalar. (3) Product of two vectors may either be a scalar or a vector.

Types of vectors:
(1) Equal vectors: Two vectors are said to be equal if they have same magnitude and direction.
(2) Negative vectors: Two vectors having same magnitude but opposite direction are said to be negative vectors.
(3) Collinear vectors: Vectors lying on the same straight line are termed collinear.
(4) Co-initial or concurrent vectors: Vectors having a common initial point are called co-initial vectors.
(5) Coplanar vectors: Vectors lying in one plane irrespective of their direction are said to be coplanar vectors.
(6) Null vectors or zero vectors: The vector having zero magnitude is said to be null vectors or zero vectors. Or in other words, the difference between two equal vectors is called zero or null vectors. Symbolically it is represented by
[Note: It has no specific direction.]
(7) Unit vector: A vector having unit magnitude and direction same as that of a given vector is said to be a unit vector of that vector e.g. i, j & k are the unit vectors along x, y and z-axis respectively.

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