How to find the angle between two vectors and dot product

The video tutorial explains how to find the dot product of two vectors, U and W, and determine the angle between them. It begins with an introduction to the vectors and the task, followed by a detailed explanation of the dot product and its calculation. The tutorial then demonstrates how to calculate the dot product and discusses the angle between vectors using the cosine formula. It also covers how to calculate the magnitude of vectors. The video concludes by explaining orthogonality and the concept of perpendicular vectors.

What is the result of the dot product of vectors U and W?

• 6

• 24

• 0

• 12

Which formula is used to calculate the cosine of the angle between two vectors?

• U minus V divided by the sum of magnitudes

• U dot V divided by the sum of magnitudes

• U dot V divided by the product of magnitudes

• U plus V divided by the product of magnitudes

How do you calculate the magnitude of a vector?

• Square root of the sum of squares of its components

• Sum of its components

• Difference of squares of its components

• Product of its components

What does a dot product of zero indicate about the vectors?

• They are identical

• They are orthogonal

• They are opposite

• They are parallel

What is the angle between two orthogonal vectors?

• 90 degrees

• 45 degrees

• 180 degrees

• 60 degrees