Exploring Vector Addition and Subtraction

The video tutorial explains the visual process of adding and subtracting two-dimensional vectors. It begins with the addition of vectors A and B to form vector C, highlighting the commutative property of vector addition. The tutorial then explores vector subtraction by introducing the concept of negative vectors. Finally, it demonstrates how to convert vector diagrams into mathematical equations, emphasizing the relationships between vectors A, B, and C.

What is the result of adding vector A to vector B?

• Vector A

• Vector D

• Vector B

• Vector C

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

If vectors are added in reverse order (B+A), what is the resulting vector?

• Vector D

• Vector C

• Vector A

• Vector B

Tags

CCSS.HSN-VM.B.4C

What property of vector addition is demonstrated when both A+B and B+A result in the same vector?

• Distributivity

• Commutativity

• Subtractivity

• Associativity

Tags

CCSS.HSN-VM.B.4C

What does vector D represent in the context of vector operations?

• B+A

• A-B

• B-A

• A+B

Tags

CCSS.HSN-VM.B.4C

What does the commutativity property of vector addition imply about the order of addition?

• Order affects the result

• Order does not affect the result

• None of the above

• Only subtraction is affected

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

How is the vector subtraction A-B visually represented using vector B?

• Adding negative B to A

• Adding B to A

• Subtracting A from B

• None of the above

Tags

CCSS.HSN-VM.B.4C

What is the direction of vector -B compared to vector B?

• Same direction

• None of the above

• Opposite direction

• Perpendicular

Tags

CCSS.HSN.VM.A.1

What is the result of the vector operation A - B?

• Vector B

• Vector C

• Vector D

• Vector A

Tags

CCSS.HSN-VM.B.4C

In the vector equation A + B = -C, what does -C represent?

• Vector A subtracted by B

• Vector B subtracted by A

• Vector C with the opposite direction

• Vector C with the same direction

Tags

CCSS.HSN-VM.B.4C

How can the equation A + B = -C be visually interpreted?

• Starting at B and moving towards A

• Starting at A and moving towards B

• None of the above

• Starting at A, moving towards B, and then reversing direction

Tags

CCSS.7.NS.A.1B