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 $\overrightarrow u=\hat i+\hat j,\:\overrightarrow v=\hat i-\hat j\:\:and\:\:\overrightarrow w=\hat i+2\hat j+3\hat k$. and if $\hat n$ is a unit vector such that $\overrightarrow u.\hat n=\overrightarrow v.\hat n=0$, then $|\overrightarrow w.\hat n|=?$

Can you answer this question?

1 Answer

0 votes
Let $\hat n=x\hat i+y\hat j+z\hat k$
Given: $\overrightarrow u.\hat n=\overrightarrow v.\hat n=0$
since $\hat n$ is a unit vector, $z=\pm 1$
$\therefore\:|\overrightarrow w.\hat n|=|x+2y+3z|=3$
answered Nov 28, 2013 by rvidyagovindarajan_1

Related questions

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