Writing the component form of a vector given the magnitude and direction vector

The video tutorial explains how to find a new vector with a specified magnitude while maintaining the same direction as a given vector. It covers the calculation of the unit vector and how to scale it to achieve the desired magnitude. The process involves using the formula for magnitude and applying scalar multiplication to obtain the final vector.

What is the resulting vector when scaling the unit vector of (2, 5) to a magnitude of 9?

Describe the final vector format obtained after scaling the vector (2, 5) to a magnitude of 9.