

The rectangular components of a vector are [2,2] the corresponding rectangular components of another vector are [1, √3]. find the angle between the two vectors.

The vector (2,2) makes the angle from x-axis-
tan θ =2/2 = 1
θ = tan-1 (1) = 45o
The vector (1, √3) makes angle from x-axis-
tan θ = √3/1
θ = tan-1 (√3) = 60o
So, angle between these two vectors is =60o - 45o = 15o
