Nama : Naila Zia Khalishah Kelas : X MIPA 2 No. Absen : 28 Link soal : https://lizzanovrida-education.blogspot.com/2021/ 28. Vektor u=i-2j-5k, v=-4i+mj-4k, dan w=4i-j+2k. Jika u dan v saling tegak lurus maka hasil dari (u-v).(2w) adalah (40i - 12j - 4k) Jawab : Saling tegak lurus maka, u.v = 0 (i, - 2j, - 5k) . (- 4i, mj, - 4k) = 0 - 4 - 2m + 20 = 0 2m = 4 - 20 2m = - 16 m = - 8 u - v = (i, - 2j, - 5k) - (- 4i, mj, - 4k) = (1, -2, -5) - (- 4, - 8, - 4) = (5, 6, -1) 2w = (2) . (4i, - j, 2k) = (2) . (4, - 1, 2) = (8, - 2, 4) (u-v).(2w) = (5, 6, -1) . (8, - 2, 4) = (40, - 12, - 4) (40i - 12j - 4k)
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