Find a vector of magnitude 4 units which is parallel to the vector

Let be the required vector that is parallel to.

We know any vector parallel to a given vector is of the form, where λ is a real number.

Now, we need to find λ such that.

Recall the magnitude of the vector is given as

Here, x = and y = λ

Squaring both the sides, we have

Thus, the required vector is.