Let \(\vec{a}=5 \hat{i}-\hat{j}-3 \hat{k}\) and \(\vec{b}=\hat{i}+3 \hat{j}+5 \hat{k}\) be two vectors. Then which one o…

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

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

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

None of these