How to find the angle between two vectors

The video tutorial explains how to find the angle between two vectors using the cosine formula. It covers calculating the magnitudes of vectors U and V, finding their dot product, and using the cosine inverse to determine the angle Theta. The process is demonstrated step-by-step, with a final calculation yielding the angle in degrees.

What is the formula used to find the angle between two vectors?

• Tangent of Theta equals the sum of U and V divided by their magnitudes

• Sine of Theta equals the cross product of U and V divided by their magnitudes

• Secant of Theta equals the product of U and V divided by their magnitudes

• Cosine of Theta equals the dot product of U and V divided by their magnitudes

How do you calculate the magnitude of a vector?

• By multiplying the components of the vector

• By adding the components of the vector

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

• By dividing the components of the vector

What is the magnitude of vector U if its components are 4 and 3?

• 7

• 5

• 16

• 25

What is the dot product of vectors U and V if U = (4, 3) and V = (3, 5)?

• 12

• 20

• 27

• 15

What is the angle Theta in degrees if the cosine inverse of 27 divided by 5 times sqrt 34 is calculated?

• 60 degrees

• 22.17 degrees

• 30.5 degrees

• 45 degrees