Email
Chat with tutor
logo

Ask Questions, Get Answers

X
 
Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Vector Algebra
Answer
Comment
Share
Q)

The number of vectors $\overrightarrow b$ of unit length which are $\perp$ to $\overrightarrow a=\hat i+2\hat j\:\:and\:\:\overrightarrow c=\hat j+2\hat k$ is?

$\begin{array}{1 1} 1 \\ 2 \\ 4 \\ Infinite\;vectors \end{array} $

1 Answer

Comment
A)
Toolbox:
  • $\overrightarrow a\times\overrightarrow c$ id $\perp$ to both $\overrightarrow a\:\:and\:\:\overrightarrow c$
Let $\overrightarrow b=x\hat i+y\hat j+z\hat k$
Given $\overrightarrow b$ is $\perp$ to both $\overrightarrow a\:\:and\:\:\overrightarrow c$ and $ |\overrightarrow b|=1$
Since $\overrightarrow a\times\overrightarrow c\:\:and\:\:\overrightarrow c\times\overrightarrow a$ both vectors are $\perp$ to both $\overrightarrow a\:and\:\overrightarrow c$,
T\two such unit vectors are possible.
Help Clay6 to be free
Clay6 needs your help to survive. We have roughly 7 lakh students visiting us monthly. We want to keep our services free and improve with prompt help and advanced solutions by adding more teachers and infrastructure.

A small donation from you will help us reach that goal faster. Talk to your parents, teachers and school and spread the word about clay6. You can pay online or send a cheque.

Thanks for your support.
Continue
Please choose your payment mode to continue
Home Ask Homework Questions
Your payment for is successful.
Continue
Clay6 tutors use Telegram* chat app to help students with their questions and doubts.
Do you have the Telegram chat app installed?
Already installed Install now
*Telegram is a chat app like WhatsApp / Facebook Messenger / Skype.
...