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.

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