Tolongin gan gak tau lagii ni caranya gimana
Matematika
Wahyuhidayat2333
Pertanyaan
Tolongin gan gak tau lagii ni caranya gimana
2 Jawaban
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1. Jawaban zahrazahwa
|a - b|^2=|a|^2+|b|^2- 2.|a|.|b|.cos teta
(√3)^2=1^2+2^2 - 2.1.2.cos teta
3 = 5 - 4.cos teta
cos teta=2/4
maka teta = 60° -
2. Jawaban whongaliem
[tex]| a - b | = \sqrt{ |a|^{2} + |b|^{2} - 2 |a| .|b| .cos \alpha } [/tex]
[tex] \sqrt{3} = \sqrt{ |a|^{2} + |b|^{2} - 2 |a| .|b| .cos \alpha } ... kedua ruas pangkatan 2[/tex]
3 = |a|² + |b|² - 2.|a|.|b|.cos α
3 = 1² + 2² - 2 .1 .2 .cos α
3 = 1 + 4 - 4 .cos α
3 = 5 - 4.cos α
4.cosα = 5 - 3
4.cos α = 2
cos α = 2/4
cos α = 1/2
α = 60°
5) AP = 1/5 AB
p - a = 1/5 (b - a)
p = 1/5 (b - a) + a
= 1/5 { (12 - 2) , (- 12 - 3) , (4 - 4) + (2 , 3 ,4)
= 1/5 ( 10 , - 15 , 0) + (2 , 3 , 4)
= (2 , - 3 , 0) + (2 , 3 , 4)
= (4 , 0 , 4)
BP = p - b
= (4 , 0 , 4) - (12 , - 12 , 4)
= ( - 8 , 12 , 0)