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Exploring Vector Components and Magnitudes

Authored by moges getachew

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11th Grade

Exploring Vector Components and Magnitudes
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20 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the components of the vector A = 3i + 4j?

The components of the vector A are 3 (j-component) and 4 (i-component).

The components of the vector A are 3 (i-component) and 4 (j-component).

The components of the vector A are 5 (i-component) and 2 (j-component).

The components of the vector A are 3 (i-component) and 3 (j-component).

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Calculate the magnitude of the vector B = 6i - 8j.

8

12

10

5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Define a unit vector and provide an example.

A unit vector is defined as a vector that points in the negative direction.

An example of a unit vector is (2, 2, 2), which has a magnitude of 3.

An example of a unit vector is (1, 0, 0), which points in the positive x-direction and has a magnitude of 1.

A unit vector is any vector with a magnitude of 0.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Express the vector C = 5i + 12j in unit vector form.

C = (5/13)i + (12/13)j

C = (5/13)i + (5/12)j

C = (12/13)i + (5/13)j

C = (5/12)i + (12/5)j

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Resolve the vector D = 10 at an angle of 30 degrees into its components.

D_x = 5, D_y = 5√3

D_x = 10, D_y = 0

D_x = 0, D_y = 10

D_x = 5√3, D_y = 5

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of the vector E = -2i + 2j?

4

√8

2√2

2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If F = 7i + 24j, what is the magnitude of F?

25

30

20

15

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