Free and Localized Vectors
A free vector ( or non-localized vector ) is a vector of which only the magnitude and direction are specified , not the position or line of action . Displacing it parallel to itself leaves it unchanged .
A localized vector is a vector where line of action and position are as important as magnitude and direction . These vectors change with change in position and direction .
Equality of Vectors
Two vectors are said to be equal only when they have same direction and magnitude . For example , two cars travelling with same speed in same direction . If they are travelling in opposite directions with same speed , then the vectors are unequal .