Vector u has a magnitude of 4 and a direction angle of 30 degrees. Write the component form of this vector.

u=

u=

u

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

Answer:

The component form of this vector is:

u