The video tutorial explains how to perform vector operations, specifically focusing on scalar multiplication and subtraction of vectors. It begins with an introduction to the problem, followed by detailed steps to multiply vectors by scalars. The tutorial then demonstrates how to calculate the resulting vector and concludes with graphing the final vector. The process is broken down into clear, logical steps to aid understanding.

What is the first step in solving the vector operation 2U - 3V?

• Add the vectors U and V

• Multiply each vector by its scalar

• Subtract vector V from vector U

• Divide the vectors by their scalars

When multiplying the vector U by 2, what is the resulting vector?

• 0, 0

• -5, -3

• -10, -6

• -10, -3

What is the result of multiplying vector V by 3?

• 0, 0

• -5, -3

• -15, -9

• 0, 0

What is the final resulting vector after performing the operation 2U - 3V?

• -15, -9

• -5, -3

• 0, 0

• -10, -6

How would you graph the vector -10, -6?

• Start at the origin and move 10 units down and 6 units left

• Start at the origin and move 10 units up and 6 units right

• Start at the origin and move 10 units right and 6 units up

• Start at the origin and move 10 units left and 6 units down