Mathematics and Science were invented by humans to understand and describe the world around us. A lot of mathematical quantities are used in Physics to explain the concepts clearly. A few examples of these include force, speed, velocity, and work.
These quantities are often described as being a scalar or a vector quantity.
Scalar quantity is defined as the physical quantity with magnitude and no direction.
A vector quantity is defined as the physical quantity that has both direction as well as magnitude.
Table: Difference between Vector and Scalar
Vector
The angle between two vectors means smaller of the two angles between the vectors when they are placed tail to tail by displacing either of the vectors parallel to itself.
It implies vectors of the same magnitude but opposite in direction.
Negative vector
Vectors having equal magnitude and same direction are called equal vectors.
Any two vectors are collinear, then one can be expressed in terms of others. = (where λ is a constant)
Collinear vector
If two or more vectors start from the same point, then they called coinitial vectors.
Here A, B, C, D are coinitial vectors.
Coplanar Vectors
Note:
If the frame of reference is translated or rotated the vector does not change (though its components may change).
Properties of Scalar Product
Properties of Vector Product
Direction of Vector Cross Product
118 videos470 docs189 tests

1. What is a Scalar Quantity? 
2. What is a Vector Quantity? 
3. What are the general points regarding vectors? 
4. What are some examples of scalar and vector quantities? 
5. What is the difference between scalar and vector quantities? 
118 videos470 docs189 tests


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