- #1
pearss
- 8
- 0
Homework Statement
||V|| = 2
||W|| = 3
angle between vectors = 120 degrees
V(dot)W = -3
Find ||2V+W||
Homework Equations
Cos120 = V(dot)W / ||V|| ||W||
V(dot)V = ||V|| ^2
W(dot)W = ||W|| ^2
The Attempt at a Solution
instead of solving for ||2V+W||
i instead try to solve for ||2V+W|| ^2
||(2V+W)(2V+W)||
= 4V(dot)V + 4V(dot)W + W(dot)W
=|| 4(2) + 4(-3) + 3||
i add these up and get -1
the book has an answer of 13^(1/2)