Q3 of 177 Page 23

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.


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