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 purpose of dividing a vector by its magnitude?

• To find a vector with a magnitude of zero

• To increase its magnitude

• To change its direction

• To convert it into a unit vector

In the example provided, what is the initial magnitude of the vector before simplification?

• 6

• 2

• 72

• 36

What is the simplified form of the vector after rationalizing the denominator?

• 2 / 4, 2 / 4

• 6 / 6 sqrt 2, 6 / 6 sqrt 2

• sqrt 2 / 2, sqrt 2 / 2

• 1 / sqrt 2, 1 / sqrt 2

At what angle on the unit circle is the point sqrt 2 / 2, sqrt 2 / 2 located?

• 30 degrees

• 90 degrees

• 60 degrees

• 45 degrees

How can you verify that a vector is a unit vector?

• By ensuring its magnitude is two

• By checking if its magnitude is zero

• By comparing it to another vector

• By calculating its magnitude and confirming it is one