Two-Dimensional Vector Basics, Schemes and Mind Maps of Calculus

Worksheet by Kuta Software LLC ... Write each vector in component form. ... Find the component form, magnitude, and direction angle for the given vector.

Typology: Schemes and Mind Maps

2021/2022

Uploaded on 09/27/2022

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Worksheet by Kuta Software LLC
Kuta Software - Infinite Precalculus
Two-Dimensional Vector Basics
Name___________________________________
Date________________ Period____
-1-
Write each vector in component form.
1) RS where R =
(
,
)
S =
(
, 
)
x
y
 


2) PQ where P =
(
,
)
Q =
(
, 
)
3)
x
y
 °

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, °
pf3
pf4
pf5

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©h F2m0C1u6y \Kiu]tPa[ gSvoyfCtjwyaXrdeZ iLLLdCa.y u RAalsln rryiVgAh_t[sm eraeisGeNrRvdeFdN.g v CMLaqdOeJ hweiktMhQ kILntfricnuiEtleb nP_raeGc_aolbcVuDlduAs. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus

Two-Dimensional Vector Basics

Name___________________________________ Date________________ Period____ -1- Write each vector in component form.

1) RS where R = (, )^ S = (, )

x y        

2) PQ where P = (, )^ Q = (, )

x y  ° 

  1. k , ° Draw a diagram to illustrate the horizontal and vertical components of the vector. Then find the magnitude of each component.
  2. t , ° 6) a , °

©C w2v0O1r6D OKmuOtDaJ OSRoVfst\w^aWrdeQ MLuLhCe.o l rAJlil_ grni\gjhctlsq srteWs^ecrUvTecdY.j F XMka^dzep CwDiKtfhz SIInMfCignUiAtJeF OPjrSejcNaPljc]ualhu]s[. -2- Worksheet by Kuta Software LLC Find the magnitude and direction angle for each vector.

  1. 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.

  1. i  j x y

11) RS where R = (, )^ S = (, )

x y

©s x2^0i1w6R _K_uRtdaa LSDoAftmwyasrIeo vLQLjCp.k aARlslI FrViLg[hltns^ ^rReAs`eUrSvNeidp.G U AMlaldTeX MwniStmhj hIXnsfUijnkiatPeM XPdrmeLctaCl\ccuzlCuzsL. Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus

Two-Dimensional Vector Basics

Name___________________________________ Date________________ Period____ -1- Write each vector in component form.

1) RS where R = (, )^ S = (, )

x y        

2) PQ where P = (, )^ Q = (, )

x y  ° 

  1. k , ° ,  Draw a diagram to illustrate the horizontal and vertical components of the vector. Then find the magnitude of each component.
  2. t , ° t x y Horizontal:  Vertical: 
  3. a , ° a x y Horizontal:  Vertical: 

©H a2k0p1u6] MKWuotjaZ VSMoQfdtMwIa\rZeK GLxLGCE.[ v vAelIl[ NrpiKgfhItpsZ frtexsTekrZvceOdx.h e sM[a\dReG xwkirtYhU OIDnAfIiPnuittVek `PerJewcpaJlIcEuglguUsS. -2- Worksheet by Kuta Software LLC Find the magnitude and direction angle for each vector.

  1. i  j  °
  2. 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.

  1. i  j x y (^)  °

11) RS where R = (, )^ S = (, )

x y (^)   °