Vector Components and Resultant Vectors

The video tutorial explains how to sketch the sum of two vectors using the triangle rule. It begins with a manual example of vectors A and B, detailing how to find their component forms and sketch them on a coordinate plane. The tutorial then demonstrates how to sum the X and Y components of the vectors to find the resultant vector. Finally, it provides an example using an online graphing tool to sketch vectors V and W, emphasizing the use of the triangle rule throughout.

What is the first step in using the triangle rule for vector addition?

• Add the x-components of both vectors.

• Draw a perpendicular line from the origin.

• Place the initial point of the second vector at the terminal point of the first vector.

• Calculate the magnitude of each vector.

Tags

CCSS.HSN.VM.A.2

What are the x and y components of Vector A?

• X: 1, Y: 5

• X: -4, Y: -2

• X: 2, Y: 3

• X: -1, Y: 4

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

How do you find the resultant vector using the triangle rule?

• By drawing a line from the origin to the terminal point of the second vector.

• By adding the magnitudes of the two vectors.

• By subtracting the y-components of the vectors.

• By multiplying the x-components of the vectors.

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the x-component of the resultant vector when adding Vectors A and B?

• 1

• -3

• 0

• 5

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the y-component of the resultant vector when adding Vectors A and B?

• 1

• 3

• -2

• 5

Tags

CCSS.HSN.VM.A.1

What is the x-component of Vector W?

• 3

• 1

• -2

• 0

Tags

CCSS.HSN.VM.A.2

What is the y-component of Vector W?

• 1

• -1

• 2

• 0

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the resultant vector's x-component when adding Vectors V and W?

• -1

• 2

• 0

• 3

Tags

CCSS.HSN-VM.B.4A

CCSS.HSN-VM.B.4B

What is the resultant vector's y-component when adding Vectors V and W?

• -1

• 1

• 2

• 0

Tags

CCSS.HSN-VM.B.4C

What is the final step in using the online graphing tool to find the resultant vector?

• Calculate the magnitude of the resultant vector.

• Subtract the y-components of the vectors.

• Double click on the terminal point and single click off the coordinate plane.

• Add the x-components of the vectors.

Tags

CCSS.HSN-VM.B.4C