Master unit vector in the same direction of another vector with a given magnitude

The video tutorial explains how to write a vector with a given magnitude by first finding the unit vector. It covers calculating the magnitude of vectors, finding unit vectors, and scaling them to achieve the desired magnitude. Examples include using the unit circle for verification and handling vectors in linear combination form. A graphical approach is also demonstrated to understand vector magnitude.

Describe the process to find a vector that has the same direction as W but a magnitude of 3.

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What is the final vector V when the magnitude is set to 3 for the unit vector derived from W?

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How do you find the unit vector for a vector represented in linear combination?

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