There are several types of vectors:
Position Vector:
- A position vector is a vector that defines the position of a point in space relative to a reference point, called the origin.
Physical Vector:
- A physical vector is a vector that represents a physical quantity that has both magnitude and direction.
- Examples of physical vectors include displacement, velocity, acceleration, force, and momentum.
Unit Vector:
- A unit vector is a vector with magnitude equal to 1, used as a reference for direction.
- It is written with a hat symbol (^) above it, such as î or ĵ.
Zero Vector:
- A zero vector, also known as the null vector, is a vector with magnitude equal to 0 and no direction.
- It is written as 0.
Free Vector:
- A free vector is a vector that can be applied anywhere in space, regardless of any specific reference point or coordinate system.
- An example of a free vector is a gravitational force.
Resultant Vector:
- A resultant vector is the single vector that results from adding or subtracting two or more vectors.
- The magnitude and direction of the resultant vector are equal to the sum of the magnitudes and directions of the individual vectors.
Equal Vector:
- Equal vectors are two or more vectors that have the same magnitude and direction.
Opposite Vector:
- Opposite vectors are two vectors with equal magnitude but opposite direction.
- They can be added together to form a zero vector.