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In Fisika / Sekolah Menengah Atas | 2025-08-11

yang c sama d plss besok d kumpulkan ​

Asked by shafaokee

Answer (1)

Jawaban:Tentukan:a. A · Bb. A x Bc. B x Cd. A x (B + C) Diketahui:A = 4i - 2j + kB = -2i + 3j - 2kC = -i + 4j + 3ka. A · B (Dot Product)A · B = (4)(-2) + (-2)(3) + (1)(-2)= -8 - 6 - 2= -16b. A x B (Cross Product)A x B = i((-2)(-2) - (1)(3)) - j((4)(-2) - (1)(-2)) + k((4)(3) - (-2)(-2))= i(4 - 3) - j(-8 + 2) + k(12 - 4)= i(1) - j(-6) + k(8)= i + 6j + 8kc. B x C (Cross Product) @Ara1412B x C = i((3)(3) - (-2)(4)) - j((-2)(3) - (-2)(-1)) + k((-2)(4) - (3)(-1))= i(9 + 8) - j(-6 - 2) + k(-8 + 3)= 17i + 8j - 5kd. A x (B + C)Pertama, hitung B + C:B + C = (-2i + 3j - 2k) + (-i + 4j + 3k)= -3i + 7j + kKemudian, hitung A x (B + C):A x (B + C) = i((-2)(1) - (1)(7)) - j((4)(1) - (1)(-3)) + k((4)(7) - (-2)(-3))= i(-2 - 7) - j(4 + 3) + k(28 - 6)= -9i - 7j + 22kKesimpulan: a. A · B = -16b. A x B = i + 6j + 8kc. B x C = 17i + 8j - 5kd. A x (B + C) = -9i - 7j + 22k

Answered by ara1412 | 2025-08-11