Vector u has a magnitude of 4 and a direction angle of 30 degrees. write the component form of this vector. u=< 2,3.5> u=< 2.1,29.9> u< 3.5,2> < 29.9,2.1>

The vector written in its components is given by:
 u = lul * (cos (theta) i + sin (theta) j)
 Substituting values we have:
 u = 4 * (cos (30) i + sin (30) j)
 Rewriting we have:
 u = 4 * ((root (3) / 2) i + (1/2) j)
 u = 4 * (root (3) / 2) i + 4 * (1/2) j
 u = 2 * root (3) i + 2j
 u = 3.5i + 2j
 
 The component form of this vector is:
 u <3.5,2>