Mastering Vector Addition and Subtraction

What is a scalar quantity?

• A value with both magnitude and direction

• A value with direction only, without magnitude

• A value with magnitude only, without direction

• A vector quantity

Tags

CCSS.HSN.VM.A.1

How do you position vectors for addition?

• Randomly

• Tail to tail

• Tip to tail

• Head to head

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What does the resultant vector represent in vector addition?

• The division of two vectors

• The difference between two vectors

• The scalar sum of two vectors

• The vector sum of two vectors

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the first step in adding two vectors geometrically?

• Draw the resultant vector

• Align them head to head

• Place them tip to tail

• Calculate their magnitudes

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the result of adding vector U with magnitude 3 and vector V with magnitude 2?

• A vector with magnitude 5

• Cannot be determined without direction

• A vector with magnitude 6

• A scalar quantity

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What does the tip-to-tail method help to find?

• The scalar product

• The resultant vector

• The angles between vectors

• The individual magnitudes

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the geometric interpretation of subtracting a vector?

• None of the above

• Adding the opposite direction vector

• Removing the vector entirely

• Doubling the vector magnitude

Tags

CCSS.HSN-VM.B.4C

What happens to a vector when it is multiplied by a negative?

• Its magnitude is doubled

• Its direction is reversed

• Its direction remains the same

• Its magnitude becomes zero

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

How do you perform vector subtraction geometrically?

• By adding the vectors normally

• By dividing the vectors

• By reversing the direction of the subtracted vector and adding

• By multiplying the vectors

Tags

CCSS.HSN-VM.B.4C

What additional step is involved in vector subtraction compared to vector addition?

• Calculating the scalar product

• Doubling the magnitude of the vectors

• Reversing the direction of the subtracted vector

• Using only the tail-to-tail method

Tags

CCSS.HSN-VM.B.4C