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