Vector Components and Equations

The video tutorial explains how to find the terminal point of a vector given its components and initial point. It starts with an introduction to the vector's components and a graphical representation. The tutorial then details the process of finding the terminal point by solving equations for each component. Finally, it concludes with a graphical verification of the results, showing the equivalence of the calculated vector to the original vector in standard position.

What are the components of vector v?

• X: 6, Y: 1, Z: -4

• X: 1, Y: -4, Z: 6

• X: 3, Y: 4, Z: 2

• X: -4, Y: 1, Z: 6

What is the initial point of vector v?

• (3A, 4A, 2)

• (3, 4, 2)

• (1, -4, 6)

• (0, 0, 0)

How is vector v represented graphically?

• As a red vector

• As a green vector

• As a yellow vector

• As a blue vector

What is the equation for the X component of vector v?

• x sub 2 - 4 = 3

• x sub 2 - 3 = -4

• x sub 2 + 4 = -3

• x sub 2 + 3 = 4

What is the equation for the Y component of vector v?

• y sub 2 + 4 = 1

• y sub 2 + 1 = 4

• y sub 2 - 4 = 1

• y sub 2 - 1 = 4

What is the equation for the Z component of vector v?

• z sub 2 - 2 = 6

• z sub 2 + 2 = 6

• z sub 2 - 6 = 2

• z sub 2 + 6 = 2

What is the value of x sub 2 after solving the equation?

• 3

• 1

• 4

• -1

What is the value of y sub 2 after solving the equation?

• 6

• 5

• 4

• 1

What is the value of z sub 2 after solving the equation?

• 4

• 8

• 6

• 2

What is the terminal point of vector v?

• (0, 0, 0)

• (3, 4, 2)

• (-1, 5, 8)

• (1, -4, 6)