d
ધારો કે \(\mathop {\,a}\limits^ \to  \,\, = \,\,3\hat i\,\, + \;\,4\hat j\) અને  \(\mathop {\,b}\limits^ \to  \,\, = \,\,\hat i\,\, + \,\,\hat j\,\)

\(\mathop {\,b}\limits^ \to  \) ને સમાંતર \(\mathop {\,a}\limits^ \to  \) નો ઘટક \(,\,\overrightarrow b \,\,\left( {a\,\,\cos \,\,\theta } \right)\overrightarrow b \,\,\,\)

\(\frac{{\mathop {\,a}\limits^ \to  \,.\,\,\mathop {\,b}\limits^ \to  }}{{\rm{b}}}\,.\,\frac{{\mathop {\,b}\limits^ \to  }}{{\mathop {\,b}\limits^ \to  }}\,\, = \,\,\frac{{\left( {\mathop {\,a}\limits^ \to  \,\,.\,\,\mathop {\,b}\limits^ \to  } \right)\,\,\mathop {\,b}\limits^ \to  }}{{{b^2}}}\)

\( = \,\,\frac{{\left( {3\,\, + \;\,4} \right)\,\,\left( {\hat i\,\, + \,\,\hat j} \right)}}{2}\, = \,\,\frac{7}{2}\,\,\left( {\hat i\,\, + \,\,\hat j} \right)\,\,\)