Vector Components and Displacements

The video tutorial explains how to write vectors in component form using angle brackets. It introduces the concept by using ordered pairs of initial and terminal points. The tutorial provides a formula for determining the component form of a vector and demonstrates this with examples of vectors U and V. Each vector's components are calculated and verified graphically. The video concludes with a summary of the key points covered.

What is the formula for the x component of a vector given its initial and terminal points?

• x2 + x1

• x2 - x1

• x1 - x2

• x1 + x2

If the initial point of vector u is (-2, -5) and the terminal point is (-6, 4), what is the x component?

• 4

• 8

• -4

• -8

For vector u, what is the y component if the initial point is (-2, -5) and the terminal point is (-6, 4)?

• 9

• -5

• 5

• -9

How many units does vector u move vertically according to the graph?

• 4 units up

• 9 units up

• 4 units down

• 9 units down

What is the initial point of vector v?

• (-6, 4)

• (-4, 5)

• (-2, -5)

• (3, 1)

For vector v, what is the x component if the initial point is (-4, 5) and the terminal point is (3, 1)?

• -3

• 3

• -7

• 7

What is the y component of vector v given the initial point (-4, 5) and terminal point (3, 1)?

• -6

• 6

• -4

• 4

How many units does vector v move horizontally according to the graph?

• 7 units right

• 5 units left

• 7 units left

• 5 units right

What is the vertical displacement of vector v?

• 9 units down

• 4 units up

• 4 units down

• 9 units up

Which of the following best describes the horizontal component of vector v?

• Positive 7

• Positive 4

• Negative 4

• Negative 7