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.