- #1
zr95
- 25
- 1
Homework Statement
Find (u• v) 2 + ||u × v||2 , given ||u|| = 5 and ||v|| = 3
Homework Equations
u•v=||u|| ||v|| cos(x)
u×v=||u|| ||v|| sin(x)
The Attempt at a Solution
Using these two equations I squared them both, brought them together and ended up with 225cos2(x) + 225sin2(x) and received a final answer of 225.
Am I correct in my math?
Why is it that if you square both the dot product and the cross product you just get the two magnitudes squared and multiplied together?