Pertanyaan

[SPMB 2004] Diketahui bidang empat ABCD. D A = a , D B = b , D C = c .Jika titik Q pada AB dengan AQ : QB = 1 : 2, dan titik R pada BC dengan BR : RC = 1 : 2 maka QR = ....

[SPMB 2004]
Diketahui bidang empat ABCD. $D A = a, D B = b, D C = c$ . Jika titik Q pada AB dengan AQ : QB = 1 : 2, dan titik R pada BC dengan BR : RC = 1 : 2 maka $QR =$ ....

$fraction numerator negative a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top over denominator 3 end fraction$
$fraction numerator a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top over denominator 3 end fraction$
$fraction numerator negative 2 a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top over denominator 3 end fraction$
$fraction numerator negative 2 a with rightwards arrow on top minus b with rightwards arrow on top minus c with rightwards arrow on top over denominator 3 end fraction$
$fraction numerator negative 2 a with rightwards arrow on top plus b with rightwards arrow on top minus c with rightwards arrow on top over denominator 3 end fraction$

8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa : Lalu perhatikan:

Perhatikan bahwa :
stack D A with rightwards arrow on top plus stack A B with rightwards arrow on top equals stack D B with rightwards arrow on top a with rightwards arrow on top plus stack A B with rightwards arrow on top equals b with rightwards arrow on top stack A B with rightwards arrow on top equals b with rightwards arrow on top minus a with rightwards arrow on top

Lalu perhatikan:
$stack Q R with rightwards arrow on top equals stack Q B with rightwards arrow on top plus stack B R with rightwards arrow on top stack Q R with rightwards arrow on top equals 2 over 3 stack A B with rightwards arrow on top plus 1 third stack B C with rightwards arrow on top stack Q R with rightwards arrow on top equals 2 over 3 open parentheses b with rightwards arrow on top minus a with rightwards arrow on top close parentheses plus 1 third open parentheses stack B D with rightwards arrow on top plus stack D C with rightwards arrow on top close parentheses stack Q R with rightwards arrow on top equals 2 over 3 open parentheses b with rightwards arrow on top minus a with rightwards arrow on top close parentheses plus 1 third open parentheses negative b with rightwards arrow on top plus c with rightwards arrow on top close parentheses stack Q R with rightwards arrow on top equals 2 over 3 b with rightwards arrow on top minus 2 over 3 a with rightwards arrow on top minus 1 third b with rightwards arrow on top plus 1 third c with rightwards arrow on top stack Q R with rightwards arrow on top equals fraction numerator negative 2 a with rightwards arrow on top plus b with rightwards arrow on top plus c with rightwards arrow on top over denominator 3 end fraction$

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

4.1 (7 rating)

Pertanyaan serupa

Diketahui vektor-vektor berikut: , dan Jika panjang proyeksi vektor b pada vektor a adalah 1, dan vektor tegak lurus dengan vektor c , maka nilai p + q adalah....

4.9

Jawaban terverifikasi

Vektor posisi r membagi ruas PR menjadi dua bagian dengan perbandingan PQ : QR = 1 : 2 . Jika a = i + 5 j + 3 k dan b = 2 i − j + 4 k , , maka vektor adalah ....

5.0

Jawaban terverifikasi

Jika perjalanan Raka dari kelas menuju kantin dinyatakan dengan vektor u ⇀ , maka vektor yang menunjukkan perjalanan Raka dari kantin menuju ke kelas adalah ....

5.0

Jawaban terverifikasi

Jika vektor a = − i + j + 2 k b = 3 i + j + 3 k c = 2 i − j + k Maka vektor a − b + c adalah....

4.8

Jawaban terverifikasi

Diketahui koordinat titik M ( 2 , − 5 , 1 ) titik N ( 3 , 1 , 0 ) maka vektor NM adalah ....

5.0

Jawaban terverifikasi