Ask Questions, Get Answers

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

If $\overrightarrow a=\hat i+\hat j+\hat k,\:\:\overrightarrow a.\overrightarrow b=1$ and $\overrightarrow a\times\overrightarrow b=\hat j-\hat k,$ then $\overrightarrow b=?$

Can you answer this question?

1 Answer

0 votes
Let $\overrightarrow b=x\hat i+y\hat j+z\hat k$
Given : $\overrightarrow a.\overrightarrow b=1$
$\overrightarrow a \times\overrightarrow b=\hat j-\hat k$
$\Rightarrow\:(z-y)\hat i-(z-x)\hat j+(y-x)\hat k=\hat j-\hat k$
Substituting in (i) we get
$\Rightarrow\:3y=0\:\:or\:\:y=0=z$ and $ x=1$
$\therefore\:\overrightarrow b=\hat i$
answered Nov 10, 2013 by rvidyagovindarajan_1

Related questions

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