**Question 1:** Define and explain the
following:

(1) Equal Vectors (2) Negative of a vector (3) Null or zero Vectors

(4) Unit Vector (5) Position Vector

ANSWER

### (1) Equal vectors

Two or more than two vectors are said to be equal if they have same magnitude and same direction.

### (2) Negative of a vector

Negative of a vector is defined as a vector of the same magnitude but in the reverse direction.

### (3) Null or zero vector

Null vector is a vector having zero magnitude and arbitrary direction.

### (4) Unit vector

Vector whose magnitude equals one is called a unit vector.

Unit vector is denoted by Â and read as A hat or A cap. Any vector can be written as

A common notation for denoting unit vector along the position vector is ȓ and normal to a specific surface is n̑.

### (5) Position vector

It is defined as the vector which determines the position of a point in space or in a plane with respect to the origin or some other reference point.

It is represented by a straight line drawn in such a way that its tail coincides with the origin and the tip with the position of the point P.

In Cartesian plane the point P(x, y) from the origin O is given by,

While in three dimensional space,

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