Solving vector equation involving dot products It is given in a question that $\vec x+\vec a=(\vec a\cdot \vec x)\vec b$ and it is stated that $\vec a$, $\vec b$ and $\vec x$ are vectors.  It is also stated that $\vec a\cdot \vec b\ne 1$.  The question asks to express $\vec x$ in term $\vec a$ and $\vec b$.  How do you do this?
Vector. Properties It is given in a question that $\vec x+\vec a=(\vec a\cdot \vec x)\vec b$ and it is stated that $\vec a$, $\vec b$ and $\vec x$ are vectors.  It is also stated that $\vec a\cdot \vec b\ne 1$.  The question asks to express $\vec x$ in term $\vec a$ and $\vec b$.  How do you this?
In Peter Jackson's film The Fellowship of the Ring, when the Council of Elrond takes place it shows a total of 22 members:    We all know the names of the ones who were part of the Fellowship, but I want to know who are the rest of the people in the council. Who are the elves that came with Legolas? The men next to the dwarves? The three old men sitting next to Boromir? Or the two elves next to Aragorn?  Starting from left to right:   Frodo Gandalf Elf Elf Legolas Elf Old Man Old Man Dwalin Gloin Gimli Nori Old Man Boromir Old Man Old Man Elf Elf Aragorn Elladan Elrond Elrohir I've upgraded from 12.04 to 14.04 via command-line when my system froze, had to do REISUB and dpkg --configure -a to recover from crash after rebooting.  Now everything seems to work except automatically mounting external thumb drives and external hard disk drives. After plugging in said drives, they fail to show up on the left pane and remains unmounted. I can see the device if I run lsusb and fdisk though, so it's possibly to manually mount it but I'd rather resolve why it's not automatically mounting. Is there an easy method for installing binary builds of glibc? Time and time again I see questions such as these:       And these are the types of solutions we're typically pushing:        Is this really the best we can do? Aren't there binary builds of GLIBC that we can simply unzip into a directory such as /opt/myglibc, and set the $LD_LIBRARY_PATH or whatever and run whatever application we want, without issues?   An application, such as the newer builds of Chrome (28+) that appear to require GLIBC 2.14?  NOTE: This thread titled:  on tecmint.com is what ultimately got me thinking about this.  References If I build a package from source how can I uninstall or remove completely? I used source code to build one package such as below:  ./configure --prefix=/usr --sysconfdir=/etc --localstatedir=/var --libexecdir=/usr/lib --with-package-name="Myplugin" --with-package-origin="http://www.ubuntu.org/" --enable-gtk-doc --disable-static make make install   But unfortunately, i discovered that its the latest version, and has lot of bugs, so i need to remove it/uninstall it. But how can i do so? I tried make clean; make uninstall but still i see it exist:  # pkg-config --list-all | grep Myplugin myplugin-.... $ ls /usr/lib/myplugin/libXYZ.so exist....   How do you remove this now? How to solve a system of PDEs with zip condition? Stars and pins are retained when chat messages are moved! A question was asked in one of my friend's interview. The question was to determine the right form from the below sentences.     Q. Correct form of English:          Samuel was with Susan and I   Samuel was with Susan and me   Samuel was with I and Susan   Samuel was with me and Susan   None of these      Now I vaguely remember a rule of thumb from my school days. That is "2-3-1" i.e. where all the persons are acting in a sentence, second person comes first, then third person and it is followed by first person.  So according to this theory, 1 seems to be correct to me. Is this theory correct? Is there a mass spectrometer software that can measure the mass of a proton What are the alternatives for storing client side encrypted data? I want to store client side encrypted data in Drupal 7, so that it is encrypted on the client end, and stored and transmitted in encrypted form. The password is never transmitted or stored on the server. The only modules I have found which do this are  and  but they are for Drupal 6. I need something that is user specific, so that different users can use different keys, rather than a single key or a set of keys used on the server end. Are there any similar modules for Drupal 7? How do I return a variable from Google Maps JavaScript geocoder callback? Minimize the sum of distances between two point and a circle How do I use '&' literally in LaTeX? Viewing all my questions from Android app $x^4 + y^4 = z^2$ $x, y, z \in \mathbb{N}$,    $\gcd(x, y) = 1$  prove that $x^4 + y^4 = z^2$ has no solutions.  It is true even without $\gcd(x, y) = 1$, but it is easy to see that  $\gcd(x, y)$ must be $1$ Consider the sentence      E-books are on the rise, but they haven't suppressed paper books though.    This usage seems to be quite common, but when I learned English  I was taught to use "however" where I now read "though". My questions on this use of "though" are:     Is this a new trend? Is it restricted to American English? Is "though"  considered more colloquial than "however" ?    And on a syntactic level: Do you put a comma before "though"? Embedded quotes in arcpy.CalculateField_management expression I'm using arcpy.CalculateField_management to populate a field.  The expression:  "'https://anystate.gov/someportal/DisplayQueryResults.aspx?Prompts=Spill%20Number="!ID!"&amp;Database=OfficeDocs&amp;Query=DEP_Spill_Projects&amp;QuerySet=Portal_Queries&amp;User=Portal.DEP&amp;Password=DEPPortal1'"   will work when entered into the Calculate Field Tool.  The url is completed by pulling in values from the ID field.  However, the Python code snippet pasted into my script results in a syntax error. It's worth noting the expression is bounded by """"'....'"""" (4 double quotes outside a single quote.  I tried Midavalo's suggestion a couple of different ways. First attempt set  expression = 'https://anystate.gov/someserver/…{0}&amp;Database=OfficeDocs&amp;Query=DEP_Sp‌​ill_Projects&amp;QuerySe‌​t=Portal_Queries&amp;Use‌​r=Portal.DEP&amp;Passwor‌​d=DEPPortal1'.format‌​(!ID!)   Resulting in invalid syntax  Based on the Python link, the second try included single quotes:   'https://....'.format('!ID!')    But the result was a syntax error I would like to add in QGIS real time weather data.  I found this  and this  and I tried to follow the example, but without any success.  I've added a WMS weather data layer for precipitation to the QGIS map, as follows:  First, the parameters for the service:  service = 'crs=EPSG:900913&amp;dpiMode=7&amp;featureCount=10&amp;format=image/png&amp;layers=precipitation&amp;styles=&amp;url=http://wms.openweathermap.org/service'   Next, create the raster layer, specifying WMS as the type:  rlayer = QgsRasterLayer(service, "precip", "wms")   Finally, add the precipitation layer to the map:  QgsMapLayerRegistry.instance().addMapLayers([rlayer])   the example didn't show any error in the code and no data was added to the weather layer either, I'm not sure why? when is f@g not the same as f[g]? How to calculate $\int_0^{\pi/2} \sin^a x \cos^b x \,\mathrm{d} x$ Possible Duplicate:          The  describes the expansion of the $n$th power of the sum $(a+b)$:  $$(a+b)^n = \sum_{k = 0}^n {n\choose k}a^kb^{n-k}$$  In calculus, there is a generalization of the product rule called , which describes the expansion of the $n$th derivative of the product of two functions $f$ and $g$:  $$(fg)^{(n)} = \sum_{k = 0}^n {n\choose k}f^{(k)}g^{(n-k)}$$  It's not difficult to prove using the product rule and induction, what I'm really trying understand here is why the formula is true. Is there a way to prove it using the binomial formula? How are these two formulas related? Is there a combinatorial proof for Leibniz's rule like there is for the ?   I understand this question is a bit vague, but I hope you'll agree that these two formulas look so similar it just feels like there should be some relation between the two. Of course this is not necessarily true, but I'm hoping it's not just a crazy coincidence.