Let the vector be \(\vec{\text{w}} = \text{w}_x\,\hat{i} + \text{w}_y\hat{j}\)
Substituting for wx in (i) using equation (ii),
Using equation (ii),
Required vector is
Alternate method:
When two vectors are parallel, one vector is scalar multiple of another,
i.e., if \(\vec{v}\) and \(\vec{\text{w}}\) are parallel then, \(\vec{\text{w}}\) = n \(\vec{v}\)where, n is scalar.