A) 3
B) 0
C) 1
D) 2
Correct Answer: A
Solution :
We have, \[u.\,\hat{n}=0\]and \[v.\,\hat{n}=0\] \[\Rightarrow \]\[\hat{n}\bot u\]and \[\hat{n}\bot v\] \[\Rightarrow \]\[\hat{n}=\pm \frac{u\times v}{|u\times v|}\] Now, \[u\times v=(i+j)\times (j-k)=-2k\] \[\therefore \] \[\hat{n}=\pm k\] Hence, \[|\bar{w}.\hat{n}|=|(i+2j+3k).(\pm \,3k)|=3\]You need to login to perform this action.
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