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Diketahui vektor-vektor a = 2 i − 3 j ​ , b = − 4 i − j ​ , dan c = − i + 2 j ​ .Nyatakan setiap vektor berikut ke dalam vektor satuan i dan j ​ dan tentukan besarnya. c. ​ ​ 2 a − b + 3 c ​

Diketahui vektor-vektor . Nyatakan setiap vektor berikut ke dalam vektor satuan  dan tentukan besarnya.

c.  

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N. Puspita

Master Teacher

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Pembahasan

Pembahasan

jadi vektor dan besar vektor adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 a with rightwards arrow on top minus b with rightwards arrow on top plus 3 c with rightwards arrow on top end cell equals cell 2 left parenthesis 2 i with rightwards arrow on top minus 3 j with rightwards arrow on top right parenthesis minus left parenthesis negative 4 i with rightwards arrow on top minus j with rightwards arrow on top right parenthesis plus 3 left parenthesis negative i with rightwards arrow on top plus 2 j with rightwards arrow on top right parenthesis end cell row blank equals cell left parenthesis 4 i with rightwards arrow on top minus 6 j with rightwards arrow on top right parenthesis minus left parenthesis negative 4 i with rightwards arrow on top minus j with rightwards arrow on top right parenthesis plus left parenthesis negative 3 i with rightwards arrow on top plus 6 j with rightwards arrow on top right parenthesis end cell row blank equals cell 5 i with rightwards arrow on top plus j with rightwards arrow on top end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar 2 a with rightwards arrow on top minus b with rightwards arrow on top plus 3 c with rightwards arrow on top close vertical bar end cell equals cell square root of 5 squared plus 1 squared end root end cell row blank equals cell square root of 25 plus 1 end root end cell row blank equals cell square root of 26 end cell end table end style 

jadi vektor table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell i with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell j with rightwards arrow on top end cell end table

dan besar vektor table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell a with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank minus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell b with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank plus end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell c with rightwards arrow on top end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open vertical bar 2 a with rightwards arrow on top minus b with rightwards arrow on top plus 3 c with rightwards arrow on top close vertical bar end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 26 end cell end table

Latihan Bab

Pengertian dan Operasi Vektor I

Operasi Vektor II

Kedudukan Vektor

Aljabar Vektor I

78

putri test

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Diketahui vektor-vektor a = 2 i − 3 j ​ , b = − 4 i − j ​ , dan c = − i + 2 j ​ .Nyatakan setiap vektor berikut ke dalam vektor satuan i dan j ​ dan tentukan besarnya. a. a + b + c

1rb+

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