Vector Magnitudes and Operations

What is the x component of vector w if vector v is represented as (x, y)?

• 3y

• y

• 3x

• x

If vector v has a magnitude of 5, what is the magnitude of vector w?

• 5

• 10

• 15

• 20

How does the negative scalar affect the direction of vector z compared to vector v?

• No change

• Opposite direction

• Perpendicular direction

• Same direction

What is the magnitude of vector z if vector v has a magnitude of 5?

• 15

• 10

• 20

• 5

Which vector has the smallest magnitude among v, w, and z?

• All have the same magnitude

• v

• z

• w

If vector v has a magnitude of 10, what is the magnitude of vector w when multiplied by one-fifth?

• 15

• 2

• 5

• 10

What is the scalar used to multiply vector v to get vector z in the new scenario?

• 2/5

• 3/5

• 1/5

• 4/5

In the new scenario, which vector has the largest magnitude?

• w

• All have the same magnitude

• z

• v

What is the magnitude of vector z if vector v has a magnitude of 10 and is multiplied by three-fifths?

• 3

• 6

• 8

• 5

Which vector has the smallest magnitude in the new scenario?

• All have the same magnitude

• z

• w

• v