Resolution of Vectors
A vector can be expressed in terms of other vectors in the same plane . If there are 3 vectors A , a andb , then A can be expressed as sum of a and b after multiplying them with some real numbers .
A can be resolved into two component vectors λa and μb . Hence , A = λa + μb . Here λ and μ are real numbers .
Unit Vectors A unit vector is a vector of unit magnitude and a particular direction . o
o
They specify only direction . They do not have any dimension and unit .
In a rectangular coordinate system , the x , y and z axes are represented by unit vectors , î , ĵ andk̂
o These unit vectors are perpendicular to each other . o | î | = | ĵ | = | k̂ | = 1