SOLUTION: 1. Determine the direction angle for the following vector: v = -8i + 8sqrt(3)j (Use angle measures greater than or equal to 0 and less than 360.) 2. Use vectors in the figure to

Algebra ->  Trigonometry-basics -> SOLUTION: 1. Determine the direction angle for the following vector: v = -8i + 8sqrt(3)j (Use angle measures greater than or equal to 0 and less than 360.) 2. Use vectors in the figure to      Log On


   



Question 1103010: 1. Determine the direction angle for the following vector: v = -8i + 8sqrt(3)j (Use angle measures greater than or equal to 0 and less than 360.)
2. Use vectors in the figure to graph the following vector: v + w
https://www.dropbox.com/s/sf2fyipzyrurhze/Screen%20Shot%202017-11-21%20at%209.20.06%20AM.png?dl=0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
tan%28theta%29=%288sqrt%283%29%29%2F8
tan%28theta%29=sqrt%283%29
theta=60
Since the vector is in Q3, we add 180 degrees,
alpha=60%2B180
alpha=240
.
.
.
w=<5,3>
v=<8,0>
So,
v+w=<5,3>+<8,0>
v+w=<5+8,3+0>
v+w=<13,3>