Chapter 12 - Vectors and Matrices - 12.4 The Dot Product - Exercises and Problems for Section 12.4 - Exercises and Problems - Page 521: 20

The result is legal.

We find: $Comp_v \cdot w=\dfrac{v \cdot w}{|v|}\\ =\dfrac{(2i+6j) (5i+j)}{2i+6j}\\=\dfrac{10+6}{\sqrt 4 \sqrt {36}}\\=\dfrac{16}{\sqrt {40}} \approx 2.53 \lt 5$ This implies that the result is legal.