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.Com
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)   (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)   (Show Source): You can put this solution on YOUR website!

RELATED QUESTIONS

Is square root 1 minus sine squared theta = cos Θ true? If so, in which quadrants... (answered by Fombitz)
What equation represents the value of theta in a triangle when all other angle... (answered by Alan3354)
Hi, I'm very lost. The direction said to find the exact value of Θ in the interval (answered by stanbon)
Which of the following functions is shown in the graph linked below? Graph:... (answered by Boreal)
If sin Θ = 2/3 and tan Θ < 0, what is the value of cos... (answered by stanbon)
which of the following is true about the polynomial f(x) = x3 + 9x2 + 24x + 16 ? a. -1 (answered by jsmallt9)
If a non-zero integer n is chosen such that (2-16/n) is an integer less than 6 Which of (answered by stanbon,Edwin McCravy,vleith)
Which of the following is true about the function below?... (answered by tommyt3rd)
If GH-> is the angle bisector of FGI which statement about the angle is... (answered by Othel)