Let $\overrightarrow{\mathrm{\alpha }}=5\widehat{\mathrm{i}}-\widehat{\mathrm{j}}-3\widehat{\mathrm{k}}\text{ and }\overrightarrow{\mathrm{b}}=\widehat{\mathrm{i}}+3\widehat{\mathrm{j}}+5\widehat{\mathrm{k}}$ be two vectors. Then which one of the following statements is TRUE?

Projection of $\overrightarrow{\mathrm{a}} \mathrm{on} \overrightarrow{\mathrm{b}} \mathrm{is} \frac{-17}{\sqrt{35}}$ and the direction of the projection vector is same as of $\overrightarrow{\mathrm{b}}$

Projection of $\overrightarrow{\mathrm{a}} \mathrm{on} \overrightarrow{\mathrm{b}} \mathrm{is} \frac{17}{\sqrt{35}}$ and the direction of the projection vector is opposite to the direction of $\overrightarrow{\mathrm{b}}$

Projection of $\overrightarrow{\mathrm{a}} \mathrm{on} \overrightarrow{\mathrm{b}} \mathrm{is} \frac{17}{\sqrt{35}}$ and the direction of the projection vector is same as $\overrightarrow{\mathrm{b}}$