Matematika Sekolah Menengah Atas Vektor a=2i+yk b= -i+(x+2y)j+5k jika a=-2b tentukan -2x+y​

myriamdouglasulv – March 08, 2023

Vektor a=2i+yk b= -i+(x+2y)j+5k jika a=-2b tentukan -2x+y​ ~ Vektor ~
Dik:
• vec a = 2i + yk
• vec b = -i + (x + 2y)j + 5k
• vec a = -2b

Dit:
• Hasil -2x + y

Jb:
vec a = 2i + yk
vec a = (2, 0, y)

vec b = -i + (x + 2y)j + 5k
vec b = (-1, (x + 2y), 5)

Disebutkan bahwa vec a = -2b. Maka..
a = -2b
(2, 0, y) = -2 . (-1, (x + 2y), 5)
(2, 0, y) = (2, (-2x - 4y), -10)

Karena a1 = b1, a2 = b2, dan a3 = b3, maka nilai y diketahui
y = -10

Subtitusi nilai y yg telah diketahui ke pers. -2x - 4y
0 = -2x - 4y
2x = -4(-10)
2x = 40
x = 40/2
x = 20

• Hasil -2x + y
-2x + y
= -2(20) + (-10)
= -40 - 10
= -50

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