Vector Components and Properties

The video tutorial explains how to sketch vector AB in a plane, starting with its initial and terminal points. It covers finding the component form of the vector and sketching its equivalent position vector in standard position. The tutorial also demonstrates using an online graphing tool to plot vector PQ and its equivalent. The process involves plotting points, calculating components, and using graphing tools to visualize vectors.

What are the initial and terminal points of vector AB?

• Initial: (3, -2), Terminal: (-1, 4)

• Initial: (2, 4), Terminal: (-2, -3)

• Initial: (-1, 4), Terminal: (3, -2)

• Initial: (0, 0), Terminal: (4, -6)

How do you determine the X component of vector AB?

• By subtracting the X coordinate of the terminal point from the initial point

• By multiplying the X coordinates of the initial and terminal points

• By subtracting the X coordinate of the initial point from the terminal point

• By adding the X coordinates of the initial and terminal points

What is the Y component of vector AB?

• -6

• 4

• -4

• 6

What is the purpose of sketching an equivalent position vector?

• To change the direction of the vector

• To calculate the magnitude of the vector

• To represent the same vector starting from the origin

• To find a new terminal point

What is the alternative method to find the component form of a vector?

• By using the midpoint formula

• By finding the difference of the coordinates

• By calculating the slope

• By using the distance formula

What are the initial and terminal points of vector PQ?

• Initial: (3, -2), Terminal: (-1, 4)

• Initial: (0, 0), Terminal: (4, -6)

• Initial: (-1, 4), Terminal: (3, -2)

• Initial: (2, 4), Terminal: (-2, -3)

How do you start sketching a vector using the online tool?

• By double-clicking on the terminal point

• By single-clicking on the initial point

• By dragging from the origin

• By entering the coordinates manually

What is the X component of vector PQ?

• -4

• 4

• -7

• 7

What is the Y component of vector PQ?

• 4

• 7

• -4

• -7

How do you verify your work using the online tool?

• By comparing with a hand-drawn sketch

• By checking the magnitude

• By recalculating the components

• By clicking submit to check the work