Vector Operations and Components

The video tutorial explains the process of working with two-dimensional vectors U and W. It begins by defining the vectors with their X and Y components and graphing them. The tutorial then demonstrates how to scale vector U by 3 and vector W by 1/5, followed by plotting these scaled vectors. Finally, it shows how to add the scaled vectors to find the resultant vector, emphasizing the head-to-tail method for vector addition.

What are the components of vector U?

• (1, 2)

• (0, 0)

• (-5, 5)

• (2, -1)

What is the X component of vector W?

• 2

• 5

• -5

• 0

What operation is being performed on vector U?

• Scaling by 1/5

• Scaling by 3

• Subtraction

• Addition

What is the new Y component of vector U after scaling by 3?

• -3

• 3

• 1

• -1

What is the result of scaling vector W by 1/5?

• (0, 0)

• (-1, 1)

• (1, -1)

• (5, -5)

What is the new X component of vector W after scaling by 1/5?

• -1

• 1

• 5

• -5

What is the resulting vector after adding the scaled vectors?

• (6, 1)

• (5, -2)

• (0, 0)

• (2, 3)

How do you find the resulting vector when adding two vectors?

• Subtract their components

• Add their components

• Multiply their components

• Divide their components

What is the Y component of the resulting vector?

• 0

• 1

• 2

• -2

What method is used to visually add vectors?

• Perpendicular method

• Parallel method

• Tail-to-head method

• Head-to-tail method