Question

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>

Answer 1

Explanation:

<3.5,2>

Answer 2

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 <3.5,2>