Roboguru

Diberikan jajargenjang  berpusat di  dengan  dan . Tuliskan dalam bentuk  dan  untuk  setiap vektor: , , dan .

Pertanyaan

Diberikan jajargenjang begin mathsize 14px style text ABCD end text end style berpusat di Error converting from MathML to accessible text. dengan begin mathsize 14px style AB with rightwards arrow on top equals a with rightwards arrow on top end style dan size 14px AD with size 14px rightwards arrow on top size 14px equals size 14px b with size 14px rightwards arrow on top. Tuliskan dalam bentuk size 14px a with size 14px rightwards arrow on top dan size 14px b with size 14px rightwards arrow on top untuk  setiap vektor:

begin mathsize 14px style BC with rightwards arrow on top end styleundefined, dan undefined.

Pembahasan Soal:

Diketahui vektor pada bangun datar jajargenjang begin mathsize 14px style text ABCD end text end style berpusat di Error converting from MathML to accessible text. dengan begin mathsize 14px style AB with rightwards arrow on top equals a with rightwards arrow on top end style dan size 14px AD with size 14px rightwards arrow on top size 14px equals size 14px b with size 14px rightwards arrow on top.

Pada gambar dapat dilihat bahwa pada bangun jajargenjang, begin mathsize 14px style AD with rightwards arrow on top end style sejajar dengan begin mathsize 14px style BC with rightwards arrow on top end style dan begin mathsize 14px style open vertical bar AD with rightwards arrow on top close vertical bar equals open vertical bar BC with rightwards arrow on top close vertical bar end style.

Dengan demikian, notasi vektor begin mathsize 14px style BC with rightwards arrow on top equals b with rightwards arrow on top end style.

Vektor undefined dapat ditulis dalam bentuk penjumlahan vektor seperti berikut,

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell AC with rightwards arrow on top end cell equals cell stack A B with rightwards arrow on top plus stack B C with rightwards arrow on top end cell row blank equals cell a with rightwards arrow on top plus b with rightwards arrow on top end cell end table end style 

Diagonal undefined dan undefined bertemu di titik begin mathsize 14px style straight O end style yang membagi garis tersebut menjadi dua sama panjang, sehingga

begin mathsize 14px style AO with rightwards arrow on top equals 1 half AC with rightwards arrow on top equals 1 half open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses end style 

Jadi, notasi vektor begin mathsize 14px style BC with rightwards arrow on top equals b with rightwards arrow on top end stylebegin mathsize 14px style AC with rightwards arrow on top equals a with rightwards arrow on top plus b with rightwards arrow on top end style, dan begin mathsize 14px style AO with rightwards arrow on top equals 1 half open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses end style.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 04 April 2021

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