How do you find the unit vector of another in the same direction

The video tutorial explains how to find a unit vector from a given vector by dividing it by its magnitude. It demonstrates the process using a vector with a magnitude of 72, simplifying it to a unit vector with a magnitude of 1. The tutorial also connects the concept to the unit circle, showing that the resulting unit vector lies on the circle at a 45-degree angle. Finally, it verifies the magnitude of the unit vector to ensure accuracy.

What is the general formula for finding a unit vector from a given vector?

How do you simplify the expression when dividing a vector by its magnitude?

What steps are involved in rationalizing the denominator of a unit vector?

What is the significance of the point sqrt(2)/2 in relation to the unit circle?

How can you verify that a unit vector has a magnitude of one?