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Self-Assessment Solutions

Vector Versus Scalar

1.

A scalar is just a plain old number, or a magnitude only. A vector has both magnitude and direction.

2.

Vector

3.

Scalar

4.

+60 feet

5.

–60 feet

6.

+130 pixels

7.

470 pixels

8.

0


Polar Coordinates Versus Components

1.

graphics/04inl62.gif

2.

B = 13 units @ 22.6°

3.

graphics/04inl63.gif

4.

D = 10 units @ 36.9°


Vector Addition and Subtraction

1.

graphics/04inl64.gif

2.

B = 10 units @ 53.1°

3.

graphics/04inl54.gif

4.

graphics/04inl55.gif

5.

graphics/04inl56.gif

6.

graphics/04inl57.gif

7.

graphics/04inl58.gif


Scalar Multiplication

1.

Magnitude only

2.

(–1/3)A = –4m/s @ 43°

3.

graphics/04inl59.gif

4.

graphics/04inl60.gif

5.

graphics/04inl61.gif


Dot Product

1.

0

2.

7

3.

Yes

4.

74.81°

5.

No


Cross Product

1.

[–12 –13 –3]

2.

graphics/04inl07.gif

3.

44.9°


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