Find the scalar that gives the vectors magnitude to 1

The video tutorial explains how to calculate the magnitude of a vector and normalize it to have a magnitude of 1. It introduces the concept of the unit circle and discusses how to locate points on it, even if they are unfamiliar. The process involves calculating the magnitude of vector V, finding a scalar K to normalize it, and understanding the implications of these calculations on the unit circle.

What is the magnitude of vector V given by the components -5 and 2?

• 25

• 29

• 31

• 27

What is the value of K that normalizes vector V to have a magnitude of 1?

• 1 / 5

• 1 / 2

• 1 / 29

• 1 / sqrt 29

What does it mean for a vector to have a magnitude of 1?

• It is a zero vector.

• It is a complex vector.

• It is a unit vector.

• It is a scalar.

Where is the point (-5, 2) located in relation to the unit circle after normalization?

• On the unit circle

• At the origin

• Inside the unit circle

• Outside the unit circle

Why might the point on the unit circle be unfamiliar?

• It is not a complex number.

• It is not a rational number.

• It is not a real number.

• It is not a standard angle.