Learn how to find the unit vector of a vector as a linear combination

The video tutorial explains how to determine a unit vector from a given vector. It starts with an introduction to unit vectors and the importance of writing them in component form. The tutorial then demonstrates how to calculate the magnitude of a vector and use it to derive the unit vector. The process involves dividing the vector by its magnitude to obtain the unit vector. The tutorial concludes with a summary of the steps involved in determining a unit vector.

What is the preferred form for writing vectors when determining a unit vector?

• Parametric form

• Matrix form

• Component form

• Polar form

How is the magnitude of a vector calculated?

• By multiplying the components

• By adding the components

• By dividing the components

• By taking the square root of the sum of the squares of the components

What is the magnitude of the vector (6, 0)?

• 12

• 36

• 6

• 0

How do you determine the unit vector from a given vector?

• By adding a constant to the vector

• By subtracting the magnitude from the vector

• By multiplying the vector by its magnitude

• By dividing the vector by its magnitude

What is the unit vector of (6, 0)?

• (0, 0)

• (6, 6)

• (0, 1)

• (1, 0)