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Vector Operations and Equations

Vector Operations and Equations

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Hard

•
CCSS
8.EE.C.8C, HSN-VM.B.4C, HSN.VM.A.2

+3

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.8.EE.C.8C
,
CCSS.HSN-VM.B.4C
,
CCSS.HSN.VM.A.2
CCSS.7.NS.A.3
,
CCSS.HSN-VM.B.5A
,
CCSS.HSN-VM.B.5B
,
The video tutorial explains how to express vector W as a combination of vectors U and V. It begins by converting vectors U and V into component form, then forms a system of equations to solve for scalars A and B. The solution shows that vector W can be expressed as -2 times vector U minus vector V. The tutorial concludes with a geometric interpretation, illustrating how the vectors combine to form vector W.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the component form of vector U?

(3, 1)

(2, -1)

(1, 3)

(-1, 2)

Tags

CCSS.HSN.VM.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is vector V represented in component form?

(2, -1)

(3, 1)

(-1, 2)

(1, 3)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation represents vector W as a combination of vectors U and V?

U x V = W

A x V + B x U = W

U + V = W

A x U + B x V = W

Tags

CCSS.8.EE.C.8C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first equation derived from the horizontal components?

-A + B = 1

-A - B = 1

A - B = 1

A + B = 1

Tags

CCSS.8.EE.C.8C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second equation derived from the vertical components?

3A - 2B = -7

2A + 3B = -7

3A + 2B = -7

2A - 3B = -7

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of scalar A after solving the equations?

2

-1

1

-2

Tags

CCSS.7.NS.A.3

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of scalar B after solving the equations?

-2

1

2

-1

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