vectors intro notes - mr. ehrman's page · vectors intro notes name_____ date_____ period____...

8
©u v2l0U1G8x NKFu^tfaw `SQoZfytAwDawrxes sL^LcCM.I I zAslmld brqiFgXhMtusn XrSeCsZePrEvreldl.\ j ^MMaYd^ee IwFi[tHhG qIQnnfDiMnKi^tDeQ APWrieOciaFlZc`upluuWsl. Worksheet by Kuta Software LLC Precalculus Vectors Intro Notes Name___________________________________ Date________________ Period____ ©[ l2^0G1J8o iKNuVtuay tSDoPfGtDwravrueW QLHLXC[.m \ YAblnln _riingPhqtUsQ _rEeasjeerfvnerdg. -1- Find the following information for each vector: Graph, component form, linear combination, magnitude and direction angle. 1) CD where C = (9, 5) D = (9, 3) x y 2) RS where R = (7, 6) S = (0, 2) x y

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Page 1: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©u v2l0U1G8x NKFu^tfaw `SQoZfytAwDawrxes sL^LcCM.I I zAslmld brqiFgXhMtusn XrSeCsZePrEvreldl.\ j ^MMaYd^ee IwFi[tHhG qIQnnfDiMnKi^tDeQ APWrieOciaFlZc`upluuWsl.

Worksheet by Kuta Software LLC

Precalculus

Vectors Intro Notes

Name___________________________________

Date________________ Period____

©[ l2^0G1J8o iKNuVtuay tSDoPfGtDwravrueW QLHLXC[.m \ YAblnln _riingPhqtUsQ _rEeasjeerfvnerdg.

-1-

Find the following information for each vector: Graph, component form, linear combination,magnitude and direction angle.

1) CD where C = (9, 5) D = (9, 3)

x

y

2) RS where R = (7, 6) S = (0, 2)

x

y

Page 2: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©j _2u0W1x8e qKzuot[av oSloyfdtLwuaPrOek TLvLcCg.r f CAhlJl^ grLi[gGhRtQsZ brIemskevrlvfezdG.Z l yMUaPdGeU NwTivtOhB vIjnnfjiwnpictIew JPmrWeKcBallScluqlzursz.

Worksheet by Kuta Software LLC

-2-

Find the following information for each vector, if not provided in the question: Graph, linearcombination, magnitude and direction angle.

3) v = -24, 32

x

y

4) a = 9, 40

x

y

Page 3: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©p q2y0I1j8P HKFuktJaQ oSlosf^t[wSaDrMeb ALXLhCH.I H RAPlZlh drMidgOhCtHsC mrBessUeHrHvxewdt.e Y SMYapdtez FwfimtLhf bIbnqfJiSnbiDtcei UPxraeucEamlScKuiluubsN.

Worksheet by Kuta Software LLC

-3-

Find the following information for each vector, if not provided in the question: Graph,component form, linear combination.

5) n = 98, 330°

x

y

6) r = 47, 315°

x

y

Page 4: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©` C2x0\1]8a hKxuLtHau nSvokfitZwuarrxez uLaLaCL.a o dAIlHlV nrEipgkh\tpst \rFevsveerCveeVdA.k z [M`aBdxeh Mwvixt[hE ]ImnQf^i[nYiltMed YP[rledcPaslHctuslxuxso.

Worksheet by Kuta Software LLC

-4-

Find the following information for each vector, if not provided in the question: Graph,component form, magnitude and direction angle.

7) 16i + 30j

x

y

8) -9i + 12j

x

y

Page 5: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©^ r2X0J1n8a eKpugt]as GSooLfctmwCaHrJe] xLaLjC\.S W wAwlRlb CrfiBgNh^t[se Srkehs[eerXvSeBdg.Q C SMPaFdBeE TwxiHtvhN FIVnkfBiEnGiJtyel _PerfemcCatlUc_ublPu\sb.

Worksheet by Kuta Software LLC

Precalculus

Vectors Intro Notes

Name___________________________________

Date________________ Period____

©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.

-1-

Find the following information for each vector: Graph, component form, linear combination,magnitude and direction angle.

1) CD where C = (9, 5) D = (9, 3)

x

y 0, -2-2j2270°

2) RS where R = (7, 6) S = (0, 2)

x

y -7, -4-7i - 4j

65 » 8.062209.74°

Page 6: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©U ^2X0T1^8q JKNuJtyaL oSUoQfZtWwsayrteF kLxLoCP.u ] MARlBl[ Cr_iWgshktLsS TrSeTsKezrtvHe^di.P A ]MSaHdnea ywbiKtuhV BIBnafri\ngiftJep UPXrIedcjaalicqutlDuNsa.

Worksheet by Kuta Software LLC

-2-

Find the following information for each vector, if not provided in the question: Graph, linearcombination, magnitude and direction angle.

3) v = -24, 32

x

y -24i + 32j40126.87°

4) a = 9, 40

x

y 9i + 40j4177.32°

Page 7: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©Q b2m0M1h8^ yKEu_tUak WS]oKfYtrwPaYraeV ELRLFCA.i Y jAWlNl_ lrKiLg`hftUsV RrHeIsMeqrrvgefdG.w N YMAa^dIeJ xwfiEtkhs yIAnBfkiqn[ilt`eb wPprCeXcOaHlycOu[lEuqst.

Worksheet by Kuta Software LLC

-3-

Find the following information for each vector, if not provided in the question: Graph,component form, linear combination.

5) n = 98, 330°

x

y 49 3 , -4984.87i - 49j

6) r = 47, 315°

x

y 47 2

2, -

47 2

233.234i - 33.234j

Page 8: Vectors Intro Notes - Mr. Ehrman's Page · Vectors Intro Notes Name_____ Date_____ Period____ ©i D2m0M1i8^ BKTuQtZa^ TSxoAfGtGwSaCryej nLGLFCO.b H ]AzlAlZ VrfiXgghntbsg xr`eDsgelrmvUeHdx.-1-Find

©V E2b0n1H8t dKKuHtJay hSTobfxtvw\axreeY aLiLMCZ.Z H MApl\lu [rbiggThMtZs^ GrzemsHe[revReKdk.v H zMyawdVev Dwnikt_hO uIfnbfiiOnCiItQeq nP_rMeOcTadlEceudl_utsk.

Worksheet by Kuta Software LLC

-4-

Find the following information for each vector, if not provided in the question: Graph,component form, magnitude and direction angle.

7) 16i + 30j

x

y 16, 303461.93°

8) -9i + 12j

x

y -9, 1215126.87°