A) \[\hat{i}+2\hat{j}\]
B) \[2\hat{i}-\hat{j}\]
C) \[2\hat{i}+\hat{j}\]
D) None of these
Correct Answer: B
Solution :
| Let \[\vec{c}=x\hat{i}+y\hat{j}\] \[\Rightarrow \,\,\,\,\vec{b}\bot \vec{c}\] |
| \[\therefore \,\,\frac{x}{3}=\frac{y}{-\,4}=\lambda \] \[\Rightarrow \vec{c}=1\,\,(3\hat{i}-4\hat{j})\] |
| Let the required vector be \[=\,\,\vec{a}=p\hat{i}+q\hat{j}\] |
| \[\frac{\vec{a}.\,\vec{b}}{\left| \,\vec{b}\, \right|}=1;\,\,\frac{\vec{a}.\,\,\vec{c}}{\left| \,\vec{c}\, \right|}=2\] |
| \[4p+3q=5;\,\,\,3p-4q=10\] |
| \[p=2,\,\,\,q=-\,1\] |
| \[\vec{a}=2\hat{i}-\hat{j}\] |
You need to login to perform this action.
You will be redirected in
3 sec
