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Pertanyaan

Pada jajargenjang PQRS dengan titik tengah O diketahui PQ ​ = u dan PS = v . Nyatakan vektor dan hasil operasi vektor berikut dalam u dan v . d. PO + QS ​ + SP

Pada jajargenjang  dengan titik tengah  diketahui  dan . Nyatakan vektor dan hasil operasi vektor berikut dalam  dan .

d.  

 

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E. Nur

Master Teacher

Mahasiswa/Alumni Institut Teknologi Sepuluh Nopember

Jawaban terverifikasi

Jawaban

.

 begin mathsize 14px style stack P O with rightwards arrow on top plus stack Q S with rightwards arrow on top plus stack S P with rightwards arrow on top equals 1 half open parentheses v with rightwards arrow on top minus u with rightwards arrow on top close parentheses end style.

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Pembahasan

Jadi, .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell PO with rightwards arrow on top plus QS with rightwards arrow on top plus SP with rightwards arrow on top end cell equals cell 1 half PR with rightwards arrow on top plus QP with rightwards arrow on top end cell row blank equals cell 1 half open parentheses PQ with rightwards arrow on top plus QR with rightwards arrow on top close parentheses plus negative PQ with rightwards arrow on top end cell row blank equals cell 1 half QR with rightwards arrow on top minus 1 half PQ with rightwards arrow on top end cell row blank equals cell 1 half PS with rightwards arrow on top minus 1 half PQ with rightwards arrow on top end cell row blank equals cell 1 half open parentheses v with rightwards arrow on top minus u with rightwards arrow on top close parentheses end cell end table end style

Jadi, begin mathsize 14px style stack P O with rightwards arrow on top plus stack Q S with rightwards arrow on top plus stack S P with rightwards arrow on top equals 1 half open parentheses v with rightwards arrow on top minus u with rightwards arrow on top close parentheses end style.

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Pada jajargenjang PQRS dengan titik tengah T titik tengah PQ dan O perpotongan PR dan QS . Jika PQ ​ = u dan PS = v , nyatakan vektor-vektor berikutdalam u dan v . b. OR

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