Two-Dimensional Vector Basics

Kuta Software - Infinite Precalculus

Two-Dimensional Vector Basics

Write each vector in component form.

1) RS where R = (, ) S = (, )

y

x

Name___________________________________ Date________________ Period____

2) PQ where P = (, ) Q = (, )

3)

y

?

x

4) k , ?

Draw a diagram to illustrate the horizontal and vertical components of the vector. Then find the magnitude of each component.

5) t , ?

6) a , ?

-1-

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Find the magnitude and direction angle for each vector.

7) i j

8) r ,

Find the component form, magnitude, and direction angle for the given vector

9) CD where C = (, ) D = (, )

Sketch a graph of each vector then find the magnitude and direction angle.

10) i j

11) RS where R = (, ) S = (, )

y

y

x

x

-2-

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Worksheet by Kuta Software LLC

Critical thinking question: 12) Find the component form of v with a magnitude of 50 in the opposite direction of u ,

-3-

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Two-Dimensional Vector Basics

Write each vector in component form.

1) RS where R = (, ) S = (, )

y

x

,

3)

y

?

x

Name___________________________________ Date________________ Period____

2) PQ where P = (, ) Q = (, )

,

4) k , ? ,

,

Draw a diagram to illustrate the horizontal and vertical components of the vector. Then find the magnitude of each component.

5) t , ?

x

6) a , ?

t

y

Horizontal: Vertical:

a

y

x

Horizontal: Vertical:

-1-

?s x2^0i1w6R _K_uRtdaa LSDoAf`tmwyasrIeo vLQLjCp.k ` aARlslI FrViLg[hltns^ ^rReAs`eUrSvNeidp.G U AMlaldTeX MwniStmhj hIXnsfUijnkiatPeM XPdrmeLctaCl\ccuzlCuzsL.

Worksheet by Kuta Software LLC

Find the magnitude and direction angle for each vector.

7) i j

8) r ,

?

?

Find the component form, magnitude, and direction angle for the given vector

9) CD where C = (, ) D = (, )

, ?

Sketch a graph of each vector then find the magnitude and direction angle.

10) i j

11) RS where R = (, ) S = (, )

y

?

y

?

x

x

-2-

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Worksheet by Kuta Software LLC

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