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Vector Components and Scalar Multiplication

Vector Components and Scalar Multiplication

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
HSN-VM.B.5A, HSN.VM.A.2, HSN-VM.B.5B

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSN-VM.B.5A
,
CCSS.HSN.VM.A.2
,
CCSS.HSN-VM.B.5B
The video tutorial explains how to sketch and calculate scalar multiples of vectors. It begins with vectors A and B, detailing their components. The tutorial demonstrates sketching 3 times Vector A and -2 times Vector B by hand, explaining the process of multiplying vector components by scalars. Finally, it uses an online graphing tool to sketch -3 times Vector W, providing a step-by-step guide to using the tool effectively.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the components of vector A?

X: 2, Y: 1

X: 0, Y: 3

X: 1, Y: 2

X: -3, Y: 1

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you graphically represent 3 times vector A?

Move left three and down one, three times

Move right three and down one, three times

Move left one and up two, three times

Move right one and up two, three times

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the X component of 3 times vector A?

2

1

3

6

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Y component of 3 times vector A?

4

6

2

8

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the direction of -2 times vector B compare to vector B?

Same direction

Opposite direction

Perpendicular direction

No direction

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the X component of -2 times vector B?

-6

6

-3

3

Tags

CCSS.HSN-VM.B.5A

CCSS.HSN-VM.B.5B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the Y component of -2 times vector B?

-1

-2

1

2

Tags

CCSS.HSN.VM.A.2

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