diketahui u=(3,7,1).v=(4,-2,-6)dan w=(6,-1,-1)panjang vektor v+3v-2w adalah a.6 akar 3 b.9 akar 3 c.10 akar 3 d 12 akar 2 e.akar 3 pleace jawab
Matematika
Mullalone6100
Pertanyaan
diketahui u=(3,7,1).v=(4,-2,-6)dan w=(6,-1,-1)panjang vektor v+3v-2w adalah a.6 akar 3 b.9 akar 3 c.10 akar 3 d 12 akar 2 e.akar 3 pleace jawab
1 Jawaban
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1. Jawaban Jaliaa91
Dik:
• u = (3, 7, 1)
• v = (-4, -2, -6)
• w = (6, -1, -1)
Dit: panjang vektor u + 3v -2w
Mis: u + 3v - 2w = a
a = (3,7,1) + 3(4,-2,-6) - 2(6,-1,-1)
= (3,7,1) + (12,-6,-18) - (12,-2,-2)
= (3,3,-15)
|a| = √3² +3² + (-15)²
|a| = √9 + 9 + 225
|a| = √243 = √81 x √3
|a| = 9√3
Jwaban: B