How to find the resultant vector of the difference of two vectors

The video tutorial explains how to express vectors as linear combinations of unit vectors and perform vector subtraction. It demonstrates the process of subtracting vectors in both component form and as linear combinations. The tutorial concludes with instructions on graphing the resultant vector, providing a visual understanding of the operation.

What is a linear combination of vectors?

• A sum of vectors multiplied by scalars

• A product of vectors

• A subtraction of vectors

• A division of vectors

How do you perform vector subtraction in component form?

• Subtract the corresponding components

• Multiply the corresponding components

• Add the corresponding components

• Divide the corresponding components

When subtracting vectors as linear combinations, what operation is performed on the unit vectors?

• Addition

• Multiplication

• Division

• Subtraction

What is the result of subtracting vector V from vector U in the given example?

• I - 2J

• I + 2J

• 2I - J

• 2I + J

How can you graph a vector given in component form?

• By using the magnitude and direction

• By plotting the components on a coordinate plane

• By drawing a line through the origin

• By calculating the cross product