Understanding Vectors

What is a vector primarily characterized by?

• Neither length nor direction

• Both its length and direction

• Only its direction

• Only its length

How do you find the direction of a vector AB?

• By subtracting the coordinates of A from B

• By adding the coordinates of A and B

• By multiplying the coordinates of A and B

• By dividing the coordinates of A by B

What formula is used to find the magnitude of a vector?

• A^2 + B^2

• Square root of (A^2 + B^2)

• A^2 - B^2

• A + B

In the example, what is the x-component of vector AB?

• 4

• 7

• 10

• -3

What happens when you multiply a vector by a scalar?

• The vector's components are swapped

• The vector becomes zero

• The vector's length changes

• The vector's direction changes

What is the tip-to-tail method used for?

• Finding the magnitude of a vector

• Adding vectors

• Multiplying vectors

• Subtracting vectors

How do you draw a vector in a plane?

• By starting at the origin

• By drawing it parallel to the y-axis

• By ensuring it fits within the plane

• By drawing it parallel to the x-axis

What is the resulting vector when adding V and W?

• V - W

• V * W

• W - V

• V + W

What is the y-component of the vector sum V + W?

• 4

• 6

• 8

• 10

What should you ensure when drawing vectors in a plane?

• They are all diagonal

• They are all horizontal

• They fit within the plane

• They are all vertical