Question

Mohon bantuannya yah !

Answer 1

Verified answer

3x + 2y - z = 3
-2x + y + 3z = 5
4x - y - 2z = -1

D = |3 2 -1| 3 2
........|-2 1 3| -2 1
........|4 -1 -2| 4 -1
= (3.1.-2 + 2.3.4 + -1.-2.-1) - (4.1.-1 + -1.3.3 + -2.-2.2)
= (-6 + 24 - 2) - (-4 - 9 + 8)
= 16 - (-5)
= 21

Dx = |3 2 -1| 3 2
..........|5 1 3| 5 1
..........|-1 -1 -2| -1 -1
= (3.1.-2 + 2.3.-1 + -1.5.-1) - (-1.1.-1 + -1.3.3 + -2.5.2)
= (-6 - 6 + 5) - (1 - 9 - 20)
= -7 - (-28)
= 21

Dy = |3 3 -1| 3 3
..........|-2 5 3| -2 5
..........|4 -1 -2| 4 -1
= (3.5.-2 + 3.3.4 + -1.-2.-1) - (4.5.-1 + -1.3.3 + -2.-2.3)
= (-30 + 36 - 2) - (-20 - 9 + 12)
= 4 - (-17)
= 21

Dz = |3 2 3| 3 2
..........|-2 1 5| -2 1
..........|4 -1 -1| 4 -1
= (3.1.-1 + 2.5.4 + 3.-2.-1) - (4.1.3 + -1.5.3 + -1.-2.2)
= (-3 + 40 + 6) - (12 - 15 + 4)
= 43 - 1
= 42

x = Dx/D = 21/21 = 1
y = Dy/D = 21/21 = 1
z = Dz/D = 42/21 = 2
HP = {(1, 1, 2)}

Answer 2

Verified answer

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