Let $\overrightarrow{k}, \overrightarrow{l}, \overrightarrow{m}, \overrightarrow{n}$ are four distinct unit vectors in space such that: $\overrightarrow{k}.\overrightarrow{l}=\overrightarrow{l}.\overrightarrow{m}=\overrightarrow{m}.\overrightarrow{k}=\overrightarrow{n}.\overrightarrow{l}=\overrightarrow{n}.\overrightarrow{m}=-\dfrac{1}{11}$

The value of $\overrightarrow{k}.\overrightarrow{n}$ can be express as $-\dfrac{A}{B}$ , where $A, B$ are coprime positive integer.

Find the value of $A+B$ .

The answer is 108.

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

No explanations have been posted yet. Check back later!