tolong jawabannya nomer 3 dan 4.
Matematika
MNC1
Pertanyaan
tolong jawabannya nomer 3 dan 4.
1 Jawaban
-
1. Jawaban nallsst
3). AD = 2AC - BC
= 2((5-6)i + (5-3)j + (10-3)k) - ((5-3)i + (5-9)j + (10-(-12))k)
= -2i + 4j + 14k - 2i + 4j - 22k
= -4i + 8j - 8k
titik D = AD + a
= [tex] \left[\begin{array}{ccc}-4\\8\\-8\end{array}\right] + \left[\begin{array}{ccc}6\\3\\3\end{array}\right] [/tex]
= (2,11,-5)
4). AB = u
u = - 3i - 3j + 2k
BC = v
v = 5i - 4j + k
a). (2u).v = 18
(-6i-6j+4k).(5i-4j+k) = 18
-30 +24 + 4 = 18
-2 ≠ 18
b). u.(u+v) = 171
(-3i-3j+2k).(2i-7j+3k) = 171
-6 + 21 + 6 = 171
21 ≠ 171
c). (u+v)² = 222
(u+v).(u+v) = 222
(2i-7j+3k).(2i-7j+3k) = 222
4 + 28 + 9 = 222
41 ≠ 222
d). (2u-3v)² = 918
(2u-3v).(2u-3v) = 918
(-21i-18j+k).(-21i-18j+k) = 918
441 + 324 + 1 = 918
766 ≠ 918
mohon maaf kalo salah