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If hatn=ahati+bhatj is perpendicualr to ...

If `hatn=ahati+bhatj` is perpendicualr to the vector `(hati+hatj)`, then the value of a and b may be:

Text Solution

Verified by Experts

Let `vec(v)=v hat(i)` & `vec(OP)=xhat(i)+yhat(j)=xhat(i)+dhat(j)`

so `vec(OP)xxvec(v)=(xhat(i)+dhat(j))xxvhat(i)=-dvhat(k)`
(d= is constant)
which is independent of position.
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