Exploring Vector Addition and Subtraction

What must remain unchanged when sliding vectors for addition?

• Color and thickness

• Magnitude and speed

• Length and direction

• Position and orientation

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

When adding two vectors graphically, where should the second vector start?

• At any random point

• At the midpoint of the first vector

• Where the first vector ends

• At the origin

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

What does subtracting a vector involve?

• Doubling its length

• Changing its color

• Rotating it by 90 degrees

• Reversing its direction

Tags

CCSS.HSN-VM.B.4C

What is the result of subtracting vector B from vector A?

• B - A

• A - B

• A * B

• A + B

Tags

CCSS.HSN-VM.B.4C

How do you add vectors algebraically?

• Subtract their x and y components

• Add their x and y components

• Divide their magnitudes

• Multiply their magnitudes

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

What is the result of adding vectors U (3, 1) and V (-4, 2)?

• (1, 3)

• (-1, 3)

• (3, -1)

• (-3, 1)

Tags

CCSS.HSN-VM.B.4B

CCSS.HSN-VM.B.4A

What is the result of subtracting vector V from vector U?

• (3, 2)

• (-7, -1)

• (1, 7)

• (7, 1)

Tags

CCSS.HSN-VM.B.4C

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

• Its direction changes

• Its length changes

• Its position changes

• Its color changes

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

If vector U is (3, 1), what is 3 * U?

• (1, 3)

• (3, 9)

• (9, 3)

• (6, 2)

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

What is the term for multiplying a vector by a number?

• Vector addition

• Vector subtraction

• Scalar multiplication

• Vector division

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B