Exploring Adding and Subtracting Rational Expressions

What are the two main properties of a vector?

• Force and mass

• Magnitude and direction

• Distance and displacement

• Speed and velocity

How is the magnitude of a vector calculated between two points (x1, y1) and (x2, y2)?

• Square root of (x2 - x1)^2 + (y2 - y1)^2

• x2 - x1 + y2 - y1

• (x2 + x1)^2 + (y2 + y1)^2

• Square root of (x2 + x1)^2 + (y2 + y1)^2

What is the magnitude of a vector from point (3, 4) to (7, 8)?

• 4

• 5

• Square root of 16

• Square root of 32

What type of vector has a magnitude of zero?

• Zero vector

• Parallel vector

• Negative vector

• Unit vector

Which vectors have the same magnitude but opposite directions?

• Opposite vectors

• Equivalent vectors

• Parallel vectors

• Zero vectors

Which statement is true about parallel vectors?

• Cannot have the same direction

• Always have the same magnitude

• Always opposite in direction

• Same or opposite direction but not necessarily the same magnitude

If two vectors are parallel, what can be said about their slopes?

• They have the same slope

• They have opposite slopes

• One is the negative of the other

• No relation

What is required to prove two vectors are equivalent?

• Same magnitude and direction

• Same magnitude only

• Same direction only

• Different magnitudes but same direction

How do you calculate the slope of a vector from point (x1, y1) to (x2, y2)?

• (y2 - y1) / (x2 - x1)

• None of the above

• (y2 + y1) / (x2 + x1)

• (x2 - x1) / (y2 - y1)

What does it mean if two vectors are classified as equivalent?

• They have the same magnitude but different directions

• They are in the same line of action

• They have the same magnitude and direction

• They intersect at some point