Let a =5 i - j -3 k and b = i +3 j +5 k be two vectors. Then which one of the following statements is TRUE?

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

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

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

Projection of $\displaystyle \vec{a}$ on $\displaystyle \vec{b}$ is $\displaystyle \frac{-17}{\sqrt{35}}$ and the direction of the projection vector is opposite to the direction of $\displaystyle \vec{b}$.