Writing the vector with a given magnitude in the direction of another vector

The video tutorial explains how to find a vector V with a magnitude of 9 in the same direction as vector W, which is 7i + 3j. The instructor demonstrates that vector W does not have a magnitude of 9 and shows how to convert it into a unit vector. By dividing vector W by its magnitude, a unit vector is obtained. This unit vector is then multiplied by 9 to achieve the desired vector V with a magnitude of 9. The tutorial emphasizes the importance of unit vectors in maintaining direction while changing magnitude.

What new insight or understanding did you gain from this video?

Evaluate responses using AI:

OFF