The answer is correct but the dot product part is not legible. The $\mathbf {vector}$ projection of $v$ in the direction of $w$ should be written as $$\frac{(\vec v.\vec w)\vec w}{|w|^2}$$
Just magnitude of component of $\vec v$ along $\vec w$ would lead to omission of $\frac{\vec w}{|w|}$ from the expression.
The answer is correct but the dot product part is not legible. The $\mathbf {vector}$ projection of $v$ in the direction of $w$ should be written as $$\frac{(\vec v.\vec w)\vec w}{|w|^2}$$ Just magnitude of component of $\vec v$ along $\vec w$ would lead to omission of $\frac{\vec w}{|w|}$ from the expression.