tolong dibantoo yaaa fliss

a = (-3, 4, -5) => |a| = √((-3)^2 + 4^2 + (-5)^2) = √(9 + 16 + 25) = √50 = 5√2
b = (1, 2, -2) => |b| = √(1^2 + 2^2 + (-2)^2) = √(1 + 4 + 4) = √9 = 3
a.b = -3(1) + 4(2) + (-5)(-2) = -3 + 8 + 10 = 15

A) proyeksi skalar ortogonal a pada b
= (a.b) / |b| = 15 / 3 = 5

B) proyeksi skalar ortogonal b pada a
= (b.a) / |a| = 15/(5√2) = 3/√2 . √2/√2 = (3/2) √2

a.
Proyeksi skalar ortogonal a pada b
= [tex] \frac{a.b}{|b|} \\ = \frac{(-3,4,-5). (1,2,-2)}{ \sqrt{1 ^{2}+2 ^{2}+(-2) ^{2} } } \\ = \frac{-3+8+10}{3} \\ = \frac{15}{3} \\ =5[/tex]

b.
Proyeksi skalar ortogonal b pada a
= [tex] \frac{a.b}{|a|} \\ = \frac{(-3,4,-5).(1,2,-2)}{ \sqrt{(-3) ^{2}+4 ^{2}+(-5)^{2} } } \\ = \frac{15}{5 \sqrt{2} } \\ = \frac{3}{2} \sqrt{2} [/tex]