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-
?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
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-
?C w2v0O1r6D OKmuOtDaJ OSRoVfst\w^aWrdeQ MLuLhCe.o l rAJlil_ grni\gjhctlsq srteWs^ecrUvTecdY.j F XMka^dzep CwDiKtfhz SIInMfCignUiAtJeF OPjrSejcNaPljc]ualhu]s[.
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-
?Z c2V0I1L6_ NKtuVtaaS sSwoMfltfwaatrwep hLuLTCF.j k EAol_lG MrSiJg]hQtgsR NrFe`sSeYrQvEeHdG.Y W RMjaVdreB nwNiWtjh^ IIHnnfPianfiXtveP EPprkeaccafl]cOuHlSuRsJ.
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-
?H a2k0p1u6] MKWuotjaZ VSMoQfdtMwIa\rZeK GLxLGCE.[ v vAelIl[ NrpiKgfhItpsZ frtexsTekrZvceOdx.h e sM[a\dReG xwkirtYhU OIDnAfIiPnuittVek `PerJewcpaJlIcEuglguUsS.
Worksheet by Kuta Software LLC
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