logo

Ask Questions, Get Answers

 
X
 Search
Want to ask us a question? Click here
Browse Questions
Ad
Home  >>  JEEMAIN and AIPMT  >>  Mathematics  >>  Class12  >>  Vector Algebra
0 votes

If the sum of two unit vectors is a unit vector, then the magnitude of their difference is ?

Can you answer this question?
 
 

1 Answer

+1 vote
Let the two unit vectors be $\overrightarrow a$ and $\overrightarrow b$
Given $|\overrightarrow a+\overrightarrow b|=1$
$\Rightarrow\:|\overrightarrow a+\overrightarrow b|^2=1$
$\Rightarrow\:|\overrightarrow a|^2+|\overrightarrow b|^2+2\overrightarrow a.\overrightarrow b=1$
$\Rightarrow\:2\overrightarrow a.\overrightarrow b=-1$
$|\overrightarrow a-\overrightarrow b|^2=|\overrightarrow a|^2+|\overrightarrow b|^2-2\overrightarrow a.\overrightarrow b$
$=2+1=3$
$\therefore\:|\overrightarrow a-\overrightarrow b|=\sqrt 3$
answered Nov 30, 2013 by rvidyagovindarajan_1
 

Related questions

Ask Question
student study plans
x
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App
...