Multiplication of a Vector by a Scalar

Q. If $\overrightarrow{a}=\hat{i}+2\hat{j}+2\hat{k}$ and $\overrightarrow{b}=3\hat{i}+6\hat{j}+2\hat{k}$, then the vector in the direction of $\overrightarrow{a}$ and having magnitude as $|\overrightarrow{b}|$, is

1. $7(\hat{i}+2\hat{j}+2\hat{k})$
2. $Noneofthese$
3. $\frac{7}{3}(\hat{i}+2\hat{j}+2\hat{k})$
4. $\frac{7}{9}(\hat{i}+2\hat{j}+2\hat{k})$