# Thread: Angle between two vectors

1. ## Angle between two vectors

Im trying to find the angle between two vectors on Maple 13. I type in: "VectorAngle((3,7,7),(8,6,2))" and it gives me $\displaystyle arccos(\frac{20}{1391}\sqrt{107}\sqrt{26})$. This simplifies to .71 radians or about $\displaystyle 40^o$. The problem is the angle is supposed to be over 70 degrees from what I've worked out. Are my calculations wrong or did i type something in wrong in the calculator?

I'm not sure if this is important, but when i typed in my vectors I, instead of the inside parentheses in red above, used some strange symbols that looked like < and > but taller and skinnier, but i don't know how to type these i had just copy-pasted them from somewhere else. When i copy-paste them here, though, they show up as <>, but they don't look the same when i try to type them into Maple as <>. I just don't get this at all

2. Mathcad gave me the exact same result.

3. There are ambiguities in the inverse cosine function. Another answer in the range of 0 to 360 degrees is 360 - 40 = 320 degrees. Does that answer make sense?

4. Yeah--$\displaystyle \cos40^o=\cos 320^o$ is what you're saying, right? Either way, it's not the answer I'm looking for. The answer I want is about 70 degrees.

5. Originally Posted by Plato
Mathcad gave me the exact same result.
Yeah--$\displaystyle \cos40^o=\cos 320^o$ is what you're saying, right? Either way, it's not the answer I'm looking for. The answer I want is about 70 degrees.
You may well be looking for an angle of $\displaystyle 70^o$ but with those two vectors your not going to find it.