Vectors have both magnitude and direction.

**To Denote A Vector as a:**

**Column Vector:**

Resultant Vector:

Resultant Vector:

Single Letter in bold. i.e **a.**

**Position Vector: **

Position vectors are also called as end points.

**Magnitude:**

**To Find the Modulus / Magnitude of a position vector:**

### Addition And Subtraction of Vectors:

(Parallelogram Law of Addition)

(Triangular Law of Addition) nose to tail

- The negative sign reverses the directionof a vector.
- The result of a-b is a + – b e. subtracting b is equal to adding the negative of b.

### Equal Vectors:

If two line segmants AB and CD are parallel, in same direction and equal in length, then AB and CD are equal vectors.

**Parallel Vectors:**

Vectors are parallel, if they have the same direction.

Both components of one vector must be in the same ratio to the corresponding components of the parallel vector.

Vector b kb (k>0) kb (k<0)

If a = kb, the vectors a and b are parallel and are in same direction.