SOLUTION: If the following below is all true, then what information is known about theta &#920;, which is the angle between 2 non zero vectors u and v. u • v = 0 u • v > 0 u • v < 0 Ty.

Algebra ->  Test -> SOLUTION: If the following below is all true, then what information is known about theta &#920;, which is the angle between 2 non zero vectors u and v. u • v = 0 u • v > 0 u • v < 0 Ty.       Log On


   



Question 1071313: If the following below is all true, then what information is known about theta Θ, which is the angle between 2 non zero vectors u and v.
u • v = 0
u • v > 0
u • v < 0
Ty.


Found 2 solutions by Edwin McCravy, zoeyl4d2:
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Since

        u • v
cos(θ)= ——————
        ∥u∥∥v∥

if u • v = 0, then θ = 90° = p/2
if u • v > 0, then 0° < θ < 90° or 0 < θ < p/2 
if u • v < 0, then 90° < θ < 180° or p/2 < θ < p

Edwin



Answer by zoeyl4d2(17) About Me  (Show Source):